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Finding the Third Proportional to 63,770 and 80,857

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Solution

The third proportional to 63,770 and 80,857 is: 102,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,770 : 80,857 = 80,857 : x
  2. Step 2: Convert to fraction form
    63,770/80,857 = 80,857/x
  3. Step 3: Cross multiply
    63,770x = 80,857 × 80,857
  4. Step 4: Simplify right side
    63,770x = 6,537,854,449
  5. Step 5: Solve for x
    x = 6,537,854,449/63,770
  6. Step 6: Final answer
    x = 102,522.42

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.