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Finding the Third Proportional to 76,002.75 and 169,481.25

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Solution

The third proportional to 76,002.75 and 169,481.25 is: 377,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,002.75 : 169,481.25 = 169,481.25 : x
  2. Step 2: Convert to fraction form
    76,002.75/169,481.25 = 169,481.25/x
  3. Step 3: Cross multiply
    76,002.75x = 169,481.25 × 169,481.25
  4. Step 4: Simplify right side
    76,002.75x = 28,723,894,101.56
  5. Step 5: Solve for x
    x = 28,723,894,101.56/76,002.75
  6. Step 6: Final answer
    x = 377,932.30

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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.