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Finding the Third Proportional to 57,654 and 125,149

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Solution

The third proportional to 57,654 and 125,149 is: 271,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,654 : 125,149 = 125,149 : x
  2. Step 2: Convert to fraction form
    57,654/125,149 = 125,149/x
  3. Step 3: Cross multiply
    57,654x = 125,149 × 125,149
  4. Step 4: Simplify right side
    57,654x = 15,662,272,201
  5. Step 5: Solve for x
    x = 15,662,272,201/57,654
  6. Step 6: Final answer
    x = 271,659.77

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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.