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Finding the Third Proportional to 57,911 and 124,957

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Solution

The third proportional to 57,911 and 124,957 is: 269,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,911 : 124,957 = 124,957 : x
  2. Step 2: Convert to fraction form
    57,911/124,957 = 124,957/x
  3. Step 3: Cross multiply
    57,911x = 124,957 × 124,957
  4. Step 4: Simplify right side
    57,911x = 15,614,251,849
  5. Step 5: Solve for x
    x = 15,614,251,849/57,911
  6. Step 6: Final answer
    x = 269,624.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.