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Finding the Third Proportional to 36,667 and 80,339

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Solution

The third proportional to 36,667 and 80,339 is: 176,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,667 : 80,339 = 80,339 : x
  2. Step 2: Convert to fraction form
    36,667/80,339 = 80,339/x
  3. Step 3: Cross multiply
    36,667x = 80,339 × 80,339
  4. Step 4: Simplify right side
    36,667x = 6,454,354,921
  5. Step 5: Solve for x
    x = 6,454,354,921/36,667
  6. Step 6: Final answer
    x = 176,026.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.