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Finding the Third Proportional to 81,951.38 and 123,680.91

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Solution

The third proportional to 81,951.38 and 123,680.91 is: 186,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,951.38 : 123,680.91 = 123,680.91 : x
  2. Step 2: Convert to fraction form
    81,951.38/123,680.91 = 123,680.91/x
  3. Step 3: Cross multiply
    81,951.38x = 123,680.91 × 123,680.91
  4. Step 4: Simplify right side
    81,951.38x = 15,296,966,570.82
  5. Step 5: Solve for x
    x = 15,296,966,570.82/81,951.38
  6. Step 6: Final answer
    x = 186,659.06

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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.