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Finding the Third Proportional to 80,227.13 and 120,090.38

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Solution

The third proportional to 80,227.13 and 120,090.38 is: 179,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,227.13 : 120,090.38 = 120,090.38 : x
  2. Step 2: Convert to fraction form
    80,227.13/120,090.38 = 120,090.38/x
  3. Step 3: Cross multiply
    80,227.13x = 120,090.38 × 120,090.38
  4. Step 4: Simplify right side
    80,227.13x = 14,421,698,167.64
  5. Step 5: Solve for x
    x = 14,421,698,167.64/80,227.13
  6. Step 6: Final answer
    x = 179,760.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.