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Finding the Third Proportional to 57,124 and 127,496

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Solution

The third proportional to 57,124 and 127,496 is: 284,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124 : 127,496 = 127,496 : x
  2. Step 2: Convert to fraction form
    57,124/127,496 = 127,496/x
  3. Step 3: Cross multiply
    57,124x = 127,496 × 127,496
  4. Step 4: Simplify right side
    57,124x = 16,255,230,016
  5. Step 5: Solve for x
    x = 16,255,230,016/57,124
  6. Step 6: Final answer
    x = 284,560.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.