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Finding the Third Proportional to 36,202 and 80,180

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Solution

The third proportional to 36,202 and 80,180 is: 177,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202 : 80,180 = 80,180 : x
  2. Step 2: Convert to fraction form
    36,202/80,180 = 80,180/x
  3. Step 3: Cross multiply
    36,202x = 80,180 × 80,180
  4. Step 4: Simplify right side
    36,202x = 6,428,832,400
  5. Step 5: Solve for x
    x = 6,428,832,400/36,202
  6. Step 6: Final answer
    x = 177,582.24

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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.