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Finding the Third Proportional to 92,652 and 125,853

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Solution

The third proportional to 92,652 and 125,853 is: 170,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,652 : 125,853 = 125,853 : x
  2. Step 2: Convert to fraction form
    92,652/125,853 = 125,853/x
  3. Step 3: Cross multiply
    92,652x = 125,853 × 125,853
  4. Step 4: Simplify right side
    92,652x = 15,838,977,609
  5. Step 5: Solve for x
    x = 15,838,977,609/92,652
  6. Step 6: Final answer
    x = 170,951.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.