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Finding the Third Proportional to 80,914 and 126,664

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Solution

The third proportional to 80,914 and 126,664 is: 198,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,914 : 126,664 = 126,664 : x
  2. Step 2: Convert to fraction form
    80,914/126,664 = 126,664/x
  3. Step 3: Cross multiply
    80,914x = 126,664 × 126,664
  4. Step 4: Simplify right side
    80,914x = 16,043,768,896
  5. Step 5: Solve for x
    x = 16,043,768,896/80,914
  6. Step 6: Final answer
    x = 198,281.74

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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.