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Finding the Third Proportional to 57,634 and 124,157

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Solution

The third proportional to 57,634 and 124,157 is: 267,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,634 : 124,157 = 124,157 : x
  2. Step 2: Convert to fraction form
    57,634/124,157 = 124,157/x
  3. Step 3: Cross multiply
    57,634x = 124,157 × 124,157
  4. Step 4: Simplify right side
    57,634x = 15,414,960,649
  5. Step 5: Solve for x
    x = 15,414,960,649/57,634
  6. Step 6: Final answer
    x = 267,462.97

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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.