'thereby reaching' is a perfectly correct and usable phrase in written English.
It can be used to describe a result obtained after taking certain steps or to express that someone achieved something through a certain process. For example, "He worked hard to save enough money, thereby reaching his goal of being able to buy a new car."
Halfway through the book, the goatherd stumbles across the ruins of a defunct civilisation, thereby reaching the novel's climax, after which each story is resolved one by one.
On our site, performers, composers, and educators create and share their own videos, thereby reaching thousands of students at once instead of one at a time.
If the initial seed is big enough, then even if R is less than 1, the burnout process will persist for multiple generations, thereby reaching many additional people.
The HMs absorbed by root cells can be further translocated to the xylem vessels and unloaded into the xylem sap, thereby reaching the aerial parts of plants.
The end result has been gpu kernels that run at over 500 Gop/s on one nvidia tesla C1060 card, thereby reaching close to practical peak.
42A: The first time we've had this entry clued this way, "Duck AMUCK" is a Looney Tunes classic, where Daffy fights a losing battle with his animators, thereby reaching cartoon self-awareness.
If the bidding side thereby reaches or exceeds 100 points, they win, and the opponents add nothing to their score.
Now if we assume the existence of a possibility, any conclusion that we thereby reach will not be an impossibility though it may be contrary to fact.
The U.S. could dominate the airwaves not only of South Vietnam but even of Japan, as Osgood describes; and we could thereby reach the small but growing segment of society engaged in political discussion.
But critics claim the channel is a highbrow ghetto - a depositary for programmes that might otherwise have found a terrestrial home on BBC2 and thereby reached a far larger audience.
This approach is based on the proposed 'Primacy Selector (S-value)' metric and 'Intersect Matrix' topology methods that have a tendency to escape local optimal solutions and thereby reach global solutions.
