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Finding the Third Proportional to 63,304 and 71,566

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Solution

The third proportional to 63,304 and 71,566 is: 80,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,304 : 71,566 = 71,566 : x
  2. Step 2: Convert to fraction form
    63,304/71,566 = 71,566/x
  3. Step 3: Cross multiply
    63,304x = 71,566 × 71,566
  4. Step 4: Simplify right side
    63,304x = 5,121,692,356
  5. Step 5: Solve for x
    x = 5,121,692,356/63,304
  6. Step 6: Final answer
    x = 80,906.30

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.