To determine if each equation represents a proportion, we need to set up a comparison of fractions and see if they are equivalent (proportional).
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First equation: \( 168 = ? 2412 \)
To find the missing value (let's call it \( x \)), we can set up the proportion:
\[ \frac{168}{x} = \frac{1}{2412} \]
Cross multiplying gives us:
\[ 168 \cdot 2412 = 1 \cdot x \]
Which means:
\[ x = 168 \cdot 2412 \]
This does not seem to provide a simple fraction comparison as \( 168 \) is not equal to \( 2412 \) directly.
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Second equation: \( 84 = ? 126 \)
Again, let's find the missing value \( y \):
\[ \frac{84}{y} = \frac{1}{126} \]
Cross multiplying gives us:
\[ 84 \cdot 126 = 1 \cdot y \]
So:
\[ y = 84 \cdot 126 \]
This also does not lead to determining a direct proportionality.
To check if each pair is proportional, we can take the fractions:
For the first equation, using whole numbers:
\[ \frac{168}{2412} \]
For the second equation:
\[ \frac{84}{126} \]
Now simplify both fractions:
- \(\frac{84}{126} = \frac{2}{3}\) (after dividing both by 42).
- For \(\frac{168}{2412}\), \(2412 = 168 \times 14.375\), which is not a clean fraction simple like \(\frac{2}{3}\).
Hence:
- 168 and 2412 do not provide a clean proportion.
- 84 and 126 simplify down to a simple fraction.
Thus:
Conclusion: Only 84 = 126 is a proportion.
Therefore, the correct response is: "84=?126 only."