Opening batsman Azhar Ali remained unbeaten on 11 alongside nightwatchman Yasir Shah who was on three. Sharjeel Khan was dismissed for 40 by Australia spinner Nathan Lyon.
Earlier, the hosts declared on 241 for the loss of two wickets, giving the visitors a target of 465 runs to win.
Day Three: Pakistan 271-8 at stumps against Australia
Opening batsman David Warner scored the second fastest Test fifty off 23 deliveries before being bowled by pacer Wahab Riaz. Skipper Steven Smith (59) also scored a half-century prior to falling victim to Yasir.
Opener Usman Khawaja remained unbeaten on 79 alongside batsman Peter Handscomb who was 40 not out.
Pakistan were dismissed for 315 in their first innings in reply to Australia's 538-8 declared after lunch.
Day Two: Azhar, Younus lead fightback in third Test
The hosts did not enforce the follow-on and will bat in their second innings with 10 players after opener Matt Renshaw was ruled out of the rest of the match by a concussion.
Pakistan's Younus Khan made 175 not out and Australia paceman Josh Hazlewood finished with figures of 4-55.
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