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Finding the Third Proportional to 36,197 and 79,759

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Solution

The third proportional to 36,197 and 79,759 is: 175,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,197 : 79,759 = 79,759 : x
  2. Step 2: Convert to fraction form
    36,197/79,759 = 79,759/x
  3. Step 3: Cross multiply
    36,197x = 79,759 × 79,759
  4. Step 4: Simplify right side
    36,197x = 6,361,498,081
  5. Step 5: Solve for x
    x = 6,361,498,081/36,197
  6. Step 6: Final answer
    x = 175,746.56

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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.