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Finding the Third Proportional to 61,566 and 95,517

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Solution

The third proportional to 61,566 and 95,517 is: 148,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,566 : 95,517 = 95,517 : x
  2. Step 2: Convert to fraction form
    61,566/95,517 = 95,517/x
  3. Step 3: Cross multiply
    61,566x = 95,517 × 95,517
  4. Step 4: Simplify right side
    61,566x = 9,123,497,289
  5. Step 5: Solve for x
    x = 9,123,497,289/61,566
  6. Step 6: Final answer
    x = 148,190.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.