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Finding the Third Proportional to 36,254.50 and 80,285

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Solution

The third proportional to 36,254.50 and 80,285 is: 177,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,254.50 : 80,285 = 80,285 : x
  2. Step 2: Convert to fraction form
    36,254.50/80,285 = 80,285/x
  3. Step 3: Cross multiply
    36,254.50x = 80,285 × 80,285
  4. Step 4: Simplify right side
    36,254.50x = 6,445,681,225
  5. Step 5: Solve for x
    x = 6,445,681,225/36,254.50
  6. Step 6: Final answer
    x = 177,789.83

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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.