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Finding the Third Proportional to 36,198 and 79,761

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Solution

The third proportional to 36,198 and 79,761 is: 175,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,198 : 79,761 = 79,761 : x
  2. Step 2: Convert to fraction form
    36,198/79,761 = 79,761/x
  3. Step 3: Cross multiply
    36,198x = 79,761 × 79,761
  4. Step 4: Simplify right side
    36,198x = 6,361,817,121
  5. Step 5: Solve for x
    x = 6,361,817,121/36,198
  6. Step 6: Final answer
    x = 175,750.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.