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Finding the Third Proportional to 80,942.25 and 126,696.75

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Solution

The third proportional to 80,942.25 and 126,696.75 is: 198,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,942.25 : 126,696.75 = 126,696.75 : x
  2. Step 2: Convert to fraction form
    80,942.25/126,696.75 = 126,696.75/x
  3. Step 3: Cross multiply
    80,942.25x = 126,696.75 × 126,696.75
  4. Step 4: Simplify right side
    80,942.25x = 16,052,066,460.56
  5. Step 5: Solve for x
    x = 16,052,066,460.56/80,942.25
  6. Step 6: Final answer
    x = 198,315.05

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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.