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Finding the Third Proportional to 36,661 and 80,329

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Solution

The third proportional to 36,661 and 80,329 is: 176,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,661 : 80,329 = 80,329 : x
  2. Step 2: Convert to fraction form
    36,661/80,329 = 80,329/x
  3. Step 3: Cross multiply
    36,661x = 80,329 × 80,329
  4. Step 4: Simplify right side
    36,661x = 6,452,748,241
  5. Step 5: Solve for x
    x = 6,452,748,241/36,661
  6. Step 6: Final answer
    x = 176,011.24

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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.