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Finding the Third Proportional to 61,663 and 132,533

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Solution

The third proportional to 61,663 and 132,533 is: 284,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,663 : 132,533 = 132,533 : x
  2. Step 2: Convert to fraction form
    61,663/132,533 = 132,533/x
  3. Step 3: Cross multiply
    61,663x = 132,533 × 132,533
  4. Step 4: Simplify right side
    61,663x = 17,564,996,089
  5. Step 5: Solve for x
    x = 17,564,996,089/61,663
  6. Step 6: Final answer
    x = 284,854.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.