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Finding the Third Proportional to 57,016 and 123,974

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Solution

The third proportional to 57,016 and 123,974 is: 269,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,016 : 123,974 = 123,974 : x
  2. Step 2: Convert to fraction form
    57,016/123,974 = 123,974/x
  3. Step 3: Cross multiply
    57,016x = 123,974 × 123,974
  4. Step 4: Simplify right side
    57,016x = 15,369,552,676
  5. Step 5: Solve for x
    x = 15,369,552,676/57,016
  6. Step 6: Final answer
    x = 269,565.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.