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Finding the Third Proportional to 38,161 and 82,154

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Solution

The third proportional to 38,161 and 82,154 is: 176,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,161 : 82,154 = 82,154 : x
  2. Step 2: Convert to fraction form
    38,161/82,154 = 82,154/x
  3. Step 3: Cross multiply
    38,161x = 82,154 × 82,154
  4. Step 4: Simplify right side
    38,161x = 6,749,279,716
  5. Step 5: Solve for x
    x = 6,749,279,716/38,161
  6. Step 6: Final answer
    x = 176,863.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.