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Finding the Third Proportional to 80,742 and 168,876

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Solution

The third proportional to 80,742 and 168,876 is: 353,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,742 : 168,876 = 168,876 : x
  2. Step 2: Convert to fraction form
    80,742/168,876 = 168,876/x
  3. Step 3: Cross multiply
    80,742x = 168,876 × 168,876
  4. Step 4: Simplify right side
    80,742x = 28,519,103,376
  5. Step 5: Solve for x
    x = 28,519,103,376/80,742
  6. Step 6: Final answer
    x = 353,212.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.