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The phrase "also for the third" is not correct and lacks clarity in written English.
It may be used in contexts where you are referring to an additional item or point related to a third element, but it requires more context to be meaningful.
Example: "We have completed the first two tasks, and we are now ready to discuss also for the third."
Alternatives: "additionally for the third" or "likewise for the third".
Exact(7)
The Rangers, at $411 million, were No. 2, also for the third consecutive year.
She won female vocalist of the year, also for the third year running, and had the night's best performance, with "Fastest Girl in Town".
Rolex retained second position, also for the third year running, but faced increasing competition from third placed LEGO, which jumped up eight places.
The United States, which topped the list in 2008, continued its decline, also for the third year in a row, falling one place to fifth.
Also, for the third layer, additional increase of (( {25~% })^2=6.25~% ) in capacity may also be expected.
Also, for the third equation, it is considered that the industrial density is directly proportional to the industrial effort E, i.e., (I propto E), and hence we could write the rate of change in the industrial density as (frac{dI}{dt}=alpha frac{dE}{dt}).
Similar(53)
The magazine is also, for the first time, rather stylish.
In this paper we show that the first hardness result holds also for the second problem.
Also, for the first time, people's eligibility for services will be the same across England.
Also, for the first time, head-to-tail nucleotide sequences have been determined for HBoV4.
The hashtag #OscarsSoWhite began trending worldwide – also for the second year in a row.
More suggestions(15)
also for the one
also for the proportion
copies for the third
also for the three
also for the last
also for the large-scale
also for the Italian
also for the Turkish
also for the second
also for the mytilid
also for the yellow
also for the wonderful
also for the small
also for the musical
also for the corresponding
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com