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Finding the Third Proportional to 87,735.38 and 179,620.88

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Solution

The third proportional to 87,735.38 and 179,620.88 is: 367,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,735.38 : 179,620.88 = 179,620.88 : x
  2. Step 2: Convert to fraction form
    87,735.38/179,620.88 = 179,620.88/x
  3. Step 3: Cross multiply
    87,735.38x = 179,620.88 × 179,620.88
  4. Step 4: Simplify right side
    87,735.38x = 32,263,658,735.77
  5. Step 5: Solve for x
    x = 32,263,658,735.77/87,735.38
  6. Step 6: Final answer
    x = 367,738.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.