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Finding the Third Proportional to 82,326.38 and 123,504.75

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Solution

The third proportional to 82,326.38 and 123,504.75 is: 185,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,326.38 : 123,504.75 = 123,504.75 : x
  2. Step 2: Convert to fraction form
    82,326.38/123,504.75 = 123,504.75/x
  3. Step 3: Cross multiply
    82,326.38x = 123,504.75 × 123,504.75
  4. Step 4: Simplify right side
    82,326.38x = 15,253,423,272.56
  5. Step 5: Solve for x
    x = 15,253,423,272.56/82,326.38
  6. Step 6: Final answer
    x = 185,279.91

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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.