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Finding the Third Proportional to 57,154 and 125,377

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Solution

The third proportional to 57,154 and 125,377 is: 275,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154 : 125,377 = 125,377 : x
  2. Step 2: Convert to fraction form
    57,154/125,377 = 125,377/x
  3. Step 3: Cross multiply
    57,154x = 125,377 × 125,377
  4. Step 4: Simplify right side
    57,154x = 15,719,392,129
  5. Step 5: Solve for x
    x = 15,719,392,129/57,154
  6. Step 6: Final answer
    x = 275,035.73

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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.