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Finding the Third Proportional to 36,170 and 79,019

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Solution

The third proportional to 36,170 and 79,019 is: 172,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,170 : 79,019 = 79,019 : x
  2. Step 2: Convert to fraction form
    36,170/79,019 = 79,019/x
  3. Step 3: Cross multiply
    36,170x = 79,019 × 79,019
  4. Step 4: Simplify right side
    36,170x = 6,244,002,361
  5. Step 5: Solve for x
    x = 6,244,002,361/36,170
  6. Step 6: Final answer
    x = 172,629.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.