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Finding the Third Proportional to 58,531 and 126,294

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Solution

The third proportional to 58,531 and 126,294 is: 272,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,531 : 126,294 = 126,294 : x
  2. Step 2: Convert to fraction form
    58,531/126,294 = 126,294/x
  3. Step 3: Cross multiply
    58,531x = 126,294 × 126,294
  4. Step 4: Simplify right side
    58,531x = 15,950,174,436
  5. Step 5: Solve for x
    x = 15,950,174,436/58,531
  6. Step 6: Final answer
    x = 272,508.15

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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.