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Finding the Third Proportional to 36,340 and 80,452

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Solution

The third proportional to 36,340 and 80,452 is: 178,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,340 : 80,452 = 80,452 : x
  2. Step 2: Convert to fraction form
    36,340/80,452 = 80,452/x
  3. Step 3: Cross multiply
    36,340x = 80,452 × 80,452
  4. Step 4: Simplify right side
    36,340x = 6,472,524,304
  5. Step 5: Solve for x
    x = 6,472,524,304/36,340
  6. Step 6: Final answer
    x = 178,110.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.