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Finding the Third Proportional to 57,134.67 and 123,049.27

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Solution

The third proportional to 57,134.67 and 123,049.27 is: 265,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,134.67 : 123,049.27 = 123,049.27 : x
  2. Step 2: Convert to fraction form
    57,134.67/123,049.27 = 123,049.27/x
  3. Step 3: Cross multiply
    57,134.67x = 123,049.27 × 123,049.27
  4. Step 4: Simplify right side
    57,134.67x = 15,141,121,770.85
  5. Step 5: Solve for x
    x = 15,141,121,770.85/57,134.67
  6. Step 6: Final answer
    x = 265,007.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.