Question 1126936
Let the consecutive odd numbers be 
n, n+2, and n+4
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{{{ n^2 = ( n + 4 )^2 - 72 }}}
{{{ n^2 = n^2 + 8n + 16 - 72 }}}
{{{ 0 = 8n - 56 }}}
{{{ 8n = 56 }}}
{{{ n = 7 }}}
{{{ n + 2 = 9 }}}
{{{ n + 4 = 11 }}}
7, 9, and 11
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check:
{{{ 7^2 = 11^2 - 72 }}}
{{{ 49 = 121 - 72 }}}
{{{ 49 = 49 }}}
OK