"through consistency" is correct and can be used in written English.
For example, you could use it in a sentence like: "I achieved success through consistency and hard work."
Ranks were determined through consistency of results.
Last year, through consistency rather than raw speed, he nipped Elliott for the Winston Cup title.
We study the convergence of the numerical method through consistency and stability.
In an actual experiment, test interpretation validity is demonstrated through consistency between theory and practice for different state analyses.
Having reached the Chase through consistency, the Colombian is set to use the thrusting talent exhibited when he won seven grands prix for Williams and McLaren.
Through consistency of high-level output, the very best footballers tend to make you somewhat complacent of and immune to their greatness.
Thus, although our choice of programs is limited, it covers a range of alignment strategies from progressive to iterative, going through consistency-based and phylogeny-aware strategies (Kemena and Notredame, 2009).
While all were enthusiastic about the study, the manuscript itself needs a thorough go-through for consistency (see below).
It shows through the consistency we've had against England here throughout a five Test series.
He has done this on his own through patience, consistency and hard work.
It's a height reached only through extraordinary consistency, resilience and effort.
