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Finding the Third Proportional to 80,668 and 173,676

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Solution

The third proportional to 80,668 and 173,676 is: 373,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,668 : 173,676 = 173,676 : x
  2. Step 2: Convert to fraction form
    80,668/173,676 = 173,676/x
  3. Step 3: Cross multiply
    80,668x = 173,676 × 173,676
  4. Step 4: Simplify right side
    80,668x = 30,163,352,976
  5. Step 5: Solve for x
    x = 30,163,352,976/80,668
  6. Step 6: Final answer
    x = 373,919.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.