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Finding the Third Proportional to 36,344 and 80,937

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Solution

The third proportional to 36,344 and 80,937 is: 180,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,344 : 80,937 = 80,937 : x
  2. Step 2: Convert to fraction form
    36,344/80,937 = 80,937/x
  3. Step 3: Cross multiply
    36,344x = 80,937 × 80,937
  4. Step 4: Simplify right side
    36,344x = 6,550,797,969
  5. Step 5: Solve for x
    x = 6,550,797,969/36,344
  6. Step 6: Final answer
    x = 180,244.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.