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Finding the Third Proportional to 57,137 and 125,349

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Solution

The third proportional to 57,137 and 125,349 is: 274,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137 : 125,349 = 125,349 : x
  2. Step 2: Convert to fraction form
    57,137/125,349 = 125,349/x
  3. Step 3: Cross multiply
    57,137x = 125,349 × 125,349
  4. Step 4: Simplify right side
    57,137x = 15,712,371,801
  5. Step 5: Solve for x
    x = 15,712,371,801/57,137
  6. Step 6: Final answer
    x = 274,994.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.