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Finding the Third Proportional to 57,295 and 124,418

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Solution

The third proportional to 57,295 and 124,418 is: 270,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295 : 124,418 = 124,418 : x
  2. Step 2: Convert to fraction form
    57,295/124,418 = 124,418/x
  3. Step 3: Cross multiply
    57,295x = 124,418 × 124,418
  4. Step 4: Simplify right side
    57,295x = 15,479,838,724
  5. Step 5: Solve for x
    x = 15,479,838,724/57,295
  6. Step 6: Final answer
    x = 270,177.83

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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.