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Finding the Third Proportional to 73,782 and 110,727

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Solution

The third proportional to 73,782 and 110,727 is: 166,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782 : 110,727 = 110,727 : x
  2. Step 2: Convert to fraction form
    73,782/110,727 = 110,727/x
  3. Step 3: Cross multiply
    73,782x = 110,727 × 110,727
  4. Step 4: Simplify right side
    73,782x = 12,260,468,529
  5. Step 5: Solve for x
    x = 12,260,468,529/73,782
  6. Step 6: Final answer
    x = 166,171.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.