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Finding the Third Proportional to 80,948 and 126,706

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Solution

The third proportional to 80,948 and 126,706 is: 198,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,948 : 126,706 = 126,706 : x
  2. Step 2: Convert to fraction form
    80,948/126,706 = 126,706/x
  3. Step 3: Cross multiply
    80,948x = 126,706 × 126,706
  4. Step 4: Simplify right side
    80,948x = 16,054,410,436
  5. Step 5: Solve for x
    x = 16,054,410,436/80,948
  6. Step 6: Final answer
    x = 198,329.92

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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.