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Finding the Third Proportional to 125,853 and 165,086

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Solution

The third proportional to 125,853 and 165,086 is: 216,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,853 : 165,086 = 165,086 : x
  2. Step 2: Convert to fraction form
    125,853/165,086 = 165,086/x
  3. Step 3: Cross multiply
    125,853x = 165,086 × 165,086
  4. Step 4: Simplify right side
    125,853x = 27,253,387,396
  5. Step 5: Solve for x
    x = 27,253,387,396/125,853
  6. Step 6: Final answer
    x = 216,549.37

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.