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Finding the Third Proportional to 73,847 and 100,132

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Solution

The third proportional to 73,847 and 100,132 is: 135,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,847 : 100,132 = 100,132 : x
  2. Step 2: Convert to fraction form
    73,847/100,132 = 100,132/x
  3. Step 3: Cross multiply
    73,847x = 100,132 × 100,132
  4. Step 4: Simplify right side
    73,847x = 10,026,417,424
  5. Step 5: Solve for x
    x = 10,026,417,424/73,847
  6. Step 6: Final answer
    x = 135,772.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.