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Finding the Third Proportional to 40,112 and 81,198

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Solution

The third proportional to 40,112 and 81,198 is: 164,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,112 : 81,198 = 81,198 : x
  2. Step 2: Convert to fraction form
    40,112/81,198 = 81,198/x
  3. Step 3: Cross multiply
    40,112x = 81,198 × 81,198
  4. Step 4: Simplify right side
    40,112x = 6,593,115,204
  5. Step 5: Solve for x
    x = 6,593,115,204/40,112
  6. Step 6: Final answer
    x = 164,367.65

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.