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Finding the Third Proportional to 36,678 and 80,367

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Solution

The third proportional to 36,678 and 80,367 is: 176,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,678 : 80,367 = 80,367 : x
  2. Step 2: Convert to fraction form
    36,678/80,367 = 80,367/x
  3. Step 3: Cross multiply
    36,678x = 80,367 × 80,367
  4. Step 4: Simplify right side
    36,678x = 6,458,854,689
  5. Step 5: Solve for x
    x = 6,458,854,689/36,678
  6. Step 6: Final answer
    x = 176,096.15

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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.