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Finding the Third Proportional to 80,195.06 and 126,134.72

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Solution

The third proportional to 80,195.06 and 126,134.72 is: 198,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,195.06 : 126,134.72 = 126,134.72 : x
  2. Step 2: Convert to fraction form
    80,195.06/126,134.72 = 126,134.72/x
  3. Step 3: Cross multiply
    80,195.06x = 126,134.72 × 126,134.72
  4. Step 4: Simplify right side
    80,195.06x = 15,909,967,274.14
  5. Step 5: Solve for x
    x = 15,909,967,274.14/80,195.06
  6. Step 6: Final answer
    x = 198,390.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.