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Kane Williamson believes New Zealand can defeat Australia in Perth

Ross Taylor of New Zealand celebrates with Kane Williamson after reaching his century during day three of the second Test
Image: Ross Taylor celebrates with Kane Williamson after reaching his century

Kane Williamson believes New Zealand can sneak a win against Australia after scoring 166 to put his side within 49 runs of the hosts’ total in Perth.

The batsman's ton and an unbeaten 235 from Ross Taylor saw the Black Caps fight back on day three to close on 510-6 after Australia had declared on 559-9.

Steve Smith's side looked to be cruising to victory to take an unassailable 2-0 series lead until a record stand of 265 for the third wicket between Williamson and Taylor.

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And Williamson said his side still have a chance of levelling the series at the WACA.

"We still are a little bit behind in this match, on the scoreboard obviously, but having to bat last could bring its challenges as well," he told ABC radio.

"It's important we look to play well in the first session tomorrow and take it from there. It's looking like the three results are still open which makes it an exciting game."

Kane Williamson on his way to a fine 140 for New Zealand
Image: Williamson scored his second century of the series

Taylor's double century was the first for a New Zealander against their rivals and marked a return to form.

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The 31-year-old, who was forced to pull out of the tour of South Africa earlier this year to have surgery for a groin injury, had managed just one half century in his previous eight innings.

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A pick of the action from day three of the second Test between Australia and New Zealand.

And Williamson hailed his team-mate's innings which included 34 boundaries.

"He's batting fantastically, hopefully he can come out and continue tomorrow," he added.

"What an outstanding knock from Rosco, it was certainly one of his better ones.

"It would have been nice to stick around with Ross, who was knackered at the end of the day, and it would have been nice to keep each other ticking over. It was a brilliant knock from him."

Highest scores by a New Zealand player against Australia

Player Score Date
Ross Taylor 235 not out November 2015
Martin Crowe 188 November 1985
Kane Williamson 166 November 2015
Bruce Edgar 161 March 1982
Nathan Astle 156 not out November 2001