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Finding the Third Proportional to 63,976 and 101,227

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Solution

The third proportional to 63,976 and 101,227 is: 160,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,976 : 101,227 = 101,227 : x
  2. Step 2: Convert to fraction form
    63,976/101,227 = 101,227/x
  3. Step 3: Cross multiply
    63,976x = 101,227 × 101,227
  4. Step 4: Simplify right side
    63,976x = 10,246,905,529
  5. Step 5: Solve for x
    x = 10,246,905,529/63,976
  6. Step 6: Final answer
    x = 160,167.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.