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Finding the Third Proportional to 36,972 and 80,701

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Solution

The third proportional to 36,972 and 80,701 is: 176,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 80,701 = 80,701 : x
  2. Step 2: Convert to fraction form
    36,972/80,701 = 80,701/x
  3. Step 3: Cross multiply
    36,972x = 80,701 × 80,701
  4. Step 4: Simplify right side
    36,972x = 6,512,651,401
  5. Step 5: Solve for x
    x = 6,512,651,401/36,972
  6. Step 6: Final answer
    x = 176,150.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.