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Finding the Third Proportional to 95,037 and 132,867

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Solution

The third proportional to 95,037 and 132,867 is: 185,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,037 : 132,867 = 132,867 : x
  2. Step 2: Convert to fraction form
    95,037/132,867 = 132,867/x
  3. Step 3: Cross multiply
    95,037x = 132,867 × 132,867
  4. Step 4: Simplify right side
    95,037x = 17,653,639,689
  5. Step 5: Solve for x
    x = 17,653,639,689/95,037
  6. Step 6: Final answer
    x = 185,755.44

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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.