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Finding the Third Proportional to 95,045 and 132,876

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Solution

The third proportional to 95,045 and 132,876 is: 185,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,045 : 132,876 = 132,876 : x
  2. Step 2: Convert to fraction form
    95,045/132,876 = 132,876/x
  3. Step 3: Cross multiply
    95,045x = 132,876 × 132,876
  4. Step 4: Simplify right side
    95,045x = 17,656,031,376
  5. Step 5: Solve for x
    x = 17,656,031,376/95,045
  6. Step 6: Final answer
    x = 185,764.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.