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Finding the Third Proportional to 82,240.31 and 123,967.97

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Solution

The third proportional to 82,240.31 and 123,967.97 is: 186,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,240.31 : 123,967.97 = 123,967.97 : x
  2. Step 2: Convert to fraction form
    82,240.31/123,967.97 = 123,967.97/x
  3. Step 3: Cross multiply
    82,240.31x = 123,967.97 × 123,967.97
  4. Step 4: Simplify right side
    82,240.31x = 15,368,057,276.00
  5. Step 5: Solve for x
    x = 15,368,057,276.00/82,240.31
  6. Step 6: Final answer
    x = 186,867.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.