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Finding the Third Proportional to 36,296 and 79,720

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Solution

The third proportional to 36,296 and 79,720 is: 175,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,296 : 79,720 = 79,720 : x
  2. Step 2: Convert to fraction form
    36,296/79,720 = 79,720/x
  3. Step 3: Cross multiply
    36,296x = 79,720 × 79,720
  4. Step 4: Simplify right side
    36,296x = 6,355,278,400
  5. Step 5: Solve for x
    x = 6,355,278,400/36,296
  6. Step 6: Final answer
    x = 175,095.83

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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.