At the close of play, Tripura were 20 for two in their second innings with Ghosh unbeaten on nine and Samrat Singha on six.
The hosts still trail Himachal by 169 runs with 10 wickets in hand.
Starting the day on 143 for two, Tripura's overnight batsmen -- Ghosh, who resumed on 81 and Rakesh Solanki, on 42, went on to complete their century and half-century, respectively.
While Dhawan was the pick of the bowlers, Bipul Sharma (2/30) claimed two wickets.
Himachal Pradesh: 535 for five decl.
Tripura: 346 all out in 112.3 overs (Bishal Ghosh 100, Rakesh Solanki 58, Rana Dutta 43 not out; Rishi Dhawan 7/93) & 20 for no loss in 17 overs.
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