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достигать цели stresses
gen.	succeed; take; answer the purpose; arrive at a goal (at perfection, at power, etc., и т.д.); prevail; gain one's point; achieve one's objectives (isayi); drop short; reach the goal (spanishru); meet targets (Stas-Soleil)
busin.	achieve goals; achieve objectives in (smth, в чем-л.); hit one's targets; accomplish an aim (Johnny Bravo); accomplish a goal (Johnny Bravo)
econ.	attain an object; achieve object; attain object; gain object; hit the target
inf.	put over (что-либо); cut it (Marching up and down the street with a sign wasn't cutting it anymore. joyand)
Makarov.	achieve objective; arrive at a goal; reach a target; reach goal; succeed at; succeed in; succeed (в переносном смысле)
math.	this aim is attained by reducing
mil.	achieve the goal
phys.	attain the aim
достигать своей цели
polit.	achieve one's purpose (ssn); gain one's purpose (ssn); fulfil one's purpose (ssn)
достигать поставленной цели
inf.	make things happen (george serebryakov); get things done (george serebryakov)
достигать цель
mil.	meet a goal objective
O&G, casp.	deliver goal (Yeldar Azanbayev)

достигать цели: 47 phrases in 11 subjects

Business	1
Cliche / convention	1
Diplomacy	1
Economy	1
General	18
Law	2
Makarov	15
Mass media	5
Nautical	1
Patents	1
Politics	1