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Finding the Third Proportional to 36,221 and 76,375

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Solution

The third proportional to 36,221 and 76,375 is: 161,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,221 : 76,375 = 76,375 : x
  2. Step 2: Convert to fraction form
    36,221/76,375 = 76,375/x
  3. Step 3: Cross multiply
    36,221x = 76,375 × 76,375
  4. Step 4: Simplify right side
    36,221x = 5,833,140,625
  5. Step 5: Solve for x
    x = 5,833,140,625/36,221
  6. Step 6: Final answer
    x = 161,043.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.