  We study the evolution of close triple black hole system with full numerical
relativity techniques. We consider an equal mass non spinning hierarchical
system with an inner binary ten orbits away from merger and study the effects
of the third outer black hole on the binary's merger time and its eccentricity
evolution. We find a generic time delay and an increase in the number of orbits
to merger of the binary, that can be modeled versus the distance $D$ to the
third black hole as $\sim1/D^{2.5}$. On the other hand, we find that the
orientation of the third black hole orbit has little effect on the binary's
merger time when considering a fiducial initial distance of $D=30M$ to the
binary (with initial orbital separation $d=8M$). In those scenarios the
evolution of the inner binary eccentricity presents a steady decay, roughly as
expected, but in addition shows a modulation with the time scale of the outer
third black hole orbital semiperiod around the binary, resembling a beating
frequency.
