Scotland and Ireland play first (14:10 GMT) next weekend, before France host England in the final match of the tournament (20:10).
A bonus-point win would mean the French need the same to deny them.
But Ireland, too, could still claim the title with a victory of their own and a favourable result in Paris.
Former Scotland back row Johnnie Beattie believes Townsend’s team will cross the Irish Sea with confidence after a “joyous” display.
“Scotland are now taking it to super Saturday and they are worthy winners,” he said. “That was joyous to watch. Scottish rugby, on days like that, is phenomenal to be part of. Just remarkable.”
Graham now stands alone as Scotland’s all-time leading try-scorer, having claimed his 36th and 37th international scores.
He too believes Scotland can end their nine-year, 11-match winless run against the Irish.
“Yeah of course [we can win in Dublin], confidence is right up there, everyone is loving life, it would be nice to go over to Ireland and get that win. It’s all to play for,” the Edinburgh winger said.
“That game was crazy – a 90-point game. You know what they’re like, such a big unit, such a quality team and knew what they’d bring today and we did well to stop it.
“It’s a special win for us.”
