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Finding the Third Proportional to 57,909.94 and 126,891.56

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Solution

The third proportional to 57,909.94 and 126,891.56 is: 278,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,909.94 : 126,891.56 = 126,891.56 : x
  2. Step 2: Convert to fraction form
    57,909.94/126,891.56 = 126,891.56/x
  3. Step 3: Cross multiply
    57,909.94x = 126,891.56 × 126,891.56
  4. Step 4: Simplify right side
    57,909.94x = 16,101,468,633.69
  5. Step 5: Solve for x
    x = 16,101,468,633.69/57,909.94
  6. Step 6: Final answer
    x = 278,043.27

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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.