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Finding the Third Proportional to 80,934 and 177,926

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Solution

The third proportional to 80,934 and 177,926 is: 391,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,934 : 177,926 = 177,926 : x
  2. Step 2: Convert to fraction form
    80,934/177,926 = 177,926/x
  3. Step 3: Cross multiply
    80,934x = 177,926 × 177,926
  4. Step 4: Simplify right side
    80,934x = 31,657,661,476
  5. Step 5: Solve for x
    x = 31,657,661,476/80,934
  6. Step 6: Final answer
    x = 391,154.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.