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Finding the Third Proportional to 80,745 and 173,830

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Solution

The third proportional to 80,745 and 173,830 is: 374,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,745 : 173,830 = 173,830 : x
  2. Step 2: Convert to fraction form
    80,745/173,830 = 173,830/x
  3. Step 3: Cross multiply
    80,745x = 173,830 × 173,830
  4. Step 4: Simplify right side
    80,745x = 30,216,868,900
  5. Step 5: Solve for x
    x = 30,216,868,900/80,745
  6. Step 6: Final answer
    x = 374,225.88

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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.