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Finding the Third Proportional to 36,077 and 79,941

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Solution

The third proportional to 36,077 and 79,941 is: 177,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077 : 79,941 = 79,941 : x
  2. Step 2: Convert to fraction form
    36,077/79,941 = 79,941/x
  3. Step 3: Cross multiply
    36,077x = 79,941 × 79,941
  4. Step 4: Simplify right side
    36,077x = 6,390,563,481
  5. Step 5: Solve for x
    x = 6,390,563,481/36,077
  6. Step 6: Final answer
    x = 177,136.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.