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Finding the Third Proportional to 58,640 and 126,496

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Solution

The third proportional to 58,640 and 126,496 is: 272,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,640 : 126,496 = 126,496 : x
  2. Step 2: Convert to fraction form
    58,640/126,496 = 126,496/x
  3. Step 3: Cross multiply
    58,640x = 126,496 × 126,496
  4. Step 4: Simplify right side
    58,640x = 16,001,238,016
  5. Step 5: Solve for x
    x = 16,001,238,016/58,640
  6. Step 6: Final answer
    x = 272,872.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.