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Finding the Third Proportional to 80,896.69 and 126,626.44

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Solution

The third proportional to 80,896.69 and 126,626.44 is: 198,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,896.69 : 126,626.44 = 126,626.44 : x
  2. Step 2: Convert to fraction form
    80,896.69/126,626.44 = 126,626.44/x
  3. Step 3: Cross multiply
    80,896.69x = 126,626.44 × 126,626.44
  4. Step 4: Simplify right side
    80,896.69x = 16,034,254,673.94
  5. Step 5: Solve for x
    x = 16,034,254,673.94/80,896.69
  6. Step 6: Final answer
    x = 198,206.57

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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.