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Finding the Third Proportional to 57,414 and 124,794

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Solution

The third proportional to 57,414 and 124,794 is: 271,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414 : 124,794 = 124,794 : x
  2. Step 2: Convert to fraction form
    57,414/124,794 = 124,794/x
  3. Step 3: Cross multiply
    57,414x = 124,794 × 124,794
  4. Step 4: Simplify right side
    57,414x = 15,573,542,436
  5. Step 5: Solve for x
    x = 15,573,542,436/57,414
  6. Step 6: Final answer
    x = 271,249.91

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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.