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Finding the Third Proportional to 123,724.97 and 271,096.88

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Solution

The third proportional to 123,724.97 and 271,096.88 is: 594,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,724.97 : 271,096.88 = 271,096.88 : x
  2. Step 2: Convert to fraction form
    123,724.97/271,096.88 = 271,096.88/x
  3. Step 3: Cross multiply
    123,724.97x = 271,096.88 × 271,096.88
  4. Step 4: Simplify right side
    123,724.97x = 73,493,515,634.77
  5. Step 5: Solve for x
    x = 73,493,515,634.77/123,724.97
  6. Step 6: Final answer
    x = 594,007.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.