Finding the Third Proportional to 64,224 and 137,304
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Solution
The third proportional to 64,224 and 137,304 is: 293,541.17
Step by Step Solution
- Step 1: Write the proportion equation
64,224 : 137,304 = 137,304 : x - Step 2: Convert to fraction form
64,224/137,304 = 137,304/x - Step 3: Cross multiply
64,224x = 137,304 × 137,304 - Step 4: Simplify right side
64,224x = 18,852,388,416 - Step 5: Solve for x
x = 18,852,388,416/64,224 - Step 6: Final answer
x = 293,541.17
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.