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Finding the Third Proportional to 80,676 and 175,752

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Solution

The third proportional to 80,676 and 175,752 is: 382,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,676 : 175,752 = 175,752 : x
  2. Step 2: Convert to fraction form
    80,676/175,752 = 175,752/x
  3. Step 3: Cross multiply
    80,676x = 175,752 × 175,752
  4. Step 4: Simplify right side
    80,676x = 30,888,765,504
  5. Step 5: Solve for x
    x = 30,888,765,504/80,676
  6. Step 6: Final answer
    x = 382,874.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.