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Finding the Third Proportional to 80,896.22 and 126,625.78

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Solution

The third proportional to 80,896.22 and 126,625.78 is: 198,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,896.22 : 126,625.78 = 126,625.78 : x
  2. Step 2: Convert to fraction form
    80,896.22/126,625.78 = 126,625.78/x
  3. Step 3: Cross multiply
    80,896.22x = 126,625.78 × 126,625.78
  4. Step 4: Simplify right side
    80,896.22x = 16,034,088,477.17
  5. Step 5: Solve for x
    x = 16,034,088,477.17/80,896.22
  6. Step 6: Final answer
    x = 198,205.66

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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.