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Finding the Third Proportional to 38,037 and 81,162

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Solution

The third proportional to 38,037 and 81,162 is: 173,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,037 : 81,162 = 81,162 : x
  2. Step 2: Convert to fraction form
    38,037/81,162 = 81,162/x
  3. Step 3: Cross multiply
    38,037x = 81,162 × 81,162
  4. Step 4: Simplify right side
    38,037x = 6,587,270,244
  5. Step 5: Solve for x
    x = 6,587,270,244/38,037
  6. Step 6: Final answer
    x = 173,180.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.