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Finding the Third Proportional to 82,404 and 111,939

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Solution

The third proportional to 82,404 and 111,939 is: 152,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,404 : 111,939 = 111,939 : x
  2. Step 2: Convert to fraction form
    82,404/111,939 = 111,939/x
  3. Step 3: Cross multiply
    82,404x = 111,939 × 111,939
  4. Step 4: Simplify right side
    82,404x = 12,530,339,721
  5. Step 5: Solve for x
    x = 12,530,339,721/82,404
  6. Step 6: Final answer
    x = 152,059.85

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