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Finding the Third Proportional to 73,872 and 110,782

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Solution

The third proportional to 73,872 and 110,782 is: 166,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872 : 110,782 = 110,782 : x
  2. Step 2: Convert to fraction form
    73,872/110,782 = 110,782/x
  3. Step 3: Cross multiply
    73,872x = 110,782 × 110,782
  4. Step 4: Simplify right side
    73,872x = 12,272,651,524
  5. Step 5: Solve for x
    x = 12,272,651,524/73,872
  6. Step 6: Final answer
    x = 166,134.01

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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.