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Finding the Third Proportional to 36,469 and 79,162

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Solution

The third proportional to 36,469 and 79,162 is: 171,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,469 : 79,162 = 79,162 : x
  2. Step 2: Convert to fraction form
    36,469/79,162 = 79,162/x
  3. Step 3: Cross multiply
    36,469x = 79,162 × 79,162
  4. Step 4: Simplify right side
    36,469x = 6,266,622,244
  5. Step 5: Solve for x
    x = 6,266,622,244/36,469
  6. Step 6: Final answer
    x = 171,834.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.