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Finding the Third Proportional to 80,943.50 and 126,698.50

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Solution

The third proportional to 80,943.50 and 126,698.50 is: 198,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,943.50 : 126,698.50 = 126,698.50 : x
  2. Step 2: Convert to fraction form
    80,943.50/126,698.50 = 126,698.50/x
  3. Step 3: Cross multiply
    80,943.50x = 126,698.50 × 126,698.50
  4. Step 4: Simplify right side
    80,943.50x = 16,052,509,902.25
  5. Step 5: Solve for x
    x = 16,052,509,902.25/80,943.50
  6. Step 6: Final answer
    x = 198,317.47

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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.