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Finding the Third Proportional to 81,672.89 and 123,740.47

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Solution

The third proportional to 81,672.89 and 123,740.47 is: 187,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,672.89 : 123,740.47 = 123,740.47 : x
  2. Step 2: Convert to fraction form
    81,672.89/123,740.47 = 123,740.47/x
  3. Step 3: Cross multiply
    81,672.89x = 123,740.47 × 123,740.47
  4. Step 4: Simplify right side
    81,672.89x = 15,311,704,573.19
  5. Step 5: Solve for x
    x = 15,311,704,573.19/81,672.89
  6. Step 6: Final answer
    x = 187,475.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.