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Finding the Third Proportional to 36,969 and 80,166

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Solution

The third proportional to 36,969 and 80,166 is: 173,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,969 : 80,166 = 80,166 : x
  2. Step 2: Convert to fraction form
    36,969/80,166 = 80,166/x
  3. Step 3: Cross multiply
    36,969x = 80,166 × 80,166
  4. Step 4: Simplify right side
    36,969x = 6,426,587,556
  5. Step 5: Solve for x
    x = 6,426,587,556/36,969
  6. Step 6: Final answer
    x = 173,837.20

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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.