So I scored an amazing crank of CL that with a little help is not mounted on my fixie (was a 160 mm triple with 44-32-22, now a 44 single) The only hitch it that the new crank has a 3/32" chainwheel while my cog is 1/8"

I know this isn't ideal, but can I run this with a modicum of safety until I have the cash to buy a new rear cog? And yes I do run a front brake.

thanks