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Finding the Third Proportional to 82,512.56 and 123,951.09

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Solution

The third proportional to 82,512.56 and 123,951.09 is: 186,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,512.56 : 123,951.09 = 123,951.09 : x
  2. Step 2: Convert to fraction form
    82,512.56/123,951.09 = 123,951.09/x
  3. Step 3: Cross multiply
    82,512.56x = 123,951.09 × 123,951.09
  4. Step 4: Simplify right side
    82,512.56x = 15,363,873,641.82
  5. Step 5: Solve for x
    x = 15,363,873,641.82/82,512.56
  6. Step 6: Final answer
    x = 186,200.42

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