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Finding the Third Proportional to 79,714 and 170,876

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Solution

The third proportional to 79,714 and 170,876 is: 366,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,714 : 170,876 = 170,876 : x
  2. Step 2: Convert to fraction form
    79,714/170,876 = 170,876/x
  3. Step 3: Cross multiply
    79,714x = 170,876 × 170,876
  4. Step 4: Simplify right side
    79,714x = 29,198,607,376
  5. Step 5: Solve for x
    x = 29,198,607,376/79,714
  6. Step 6: Final answer
    x = 366,292.09

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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.