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Finding the Third Proportional to 79,860 and 170,801

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Solution

The third proportional to 79,860 and 170,801 is: 365,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,860 : 170,801 = 170,801 : x
  2. Step 2: Convert to fraction form
    79,860/170,801 = 170,801/x
  3. Step 3: Cross multiply
    79,860x = 170,801 × 170,801
  4. Step 4: Simplify right side
    79,860x = 29,172,981,601
  5. Step 5: Solve for x
    x = 29,172,981,601/79,860
  6. Step 6: Final answer
    x = 365,301.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.