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Finding the Third Proportional to 36,674 and 79,186

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Solution

The third proportional to 36,674 and 79,186 is: 170,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,674 : 79,186 = 79,186 : x
  2. Step 2: Convert to fraction form
    36,674/79,186 = 79,186/x
  3. Step 3: Cross multiply
    36,674x = 79,186 × 79,186
  4. Step 4: Simplify right side
    36,674x = 6,270,422,596
  5. Step 5: Solve for x
    x = 6,270,422,596/36,674
  6. Step 6: Final answer
    x = 170,977.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.