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Finding the Third Proportional to 75,195.75 and 156,610.88

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Solution

The third proportional to 75,195.75 and 156,610.88 is: 326,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,195.75 : 156,610.88 = 156,610.88 : x
  2. Step 2: Convert to fraction form
    75,195.75/156,610.88 = 156,610.88/x
  3. Step 3: Cross multiply
    75,195.75x = 156,610.88 × 156,610.88
  4. Step 4: Simplify right side
    75,195.75x = 24,526,966,168.27
  5. Step 5: Solve for x
    x = 24,526,966,168.27/75,195.75
  6. Step 6: Final answer
    x = 326,174.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.