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Finding the Third Proportional to 95,800 and 128,876

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Solution

The third proportional to 95,800 and 128,876 is: 173,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,800 : 128,876 = 128,876 : x
  2. Step 2: Convert to fraction form
    95,800/128,876 = 128,876/x
  3. Step 3: Cross multiply
    95,800x = 128,876 × 128,876
  4. Step 4: Simplify right side
    95,800x = 16,609,023,376
  5. Step 5: Solve for x
    x = 16,609,023,376/95,800
  6. Step 6: Final answer
    x = 173,371.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.