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Finding the Third Proportional to 80,866 and 173,636

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Solution

The third proportional to 80,866 and 173,636 is: 372,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,866 : 173,636 = 173,636 : x
  2. Step 2: Convert to fraction form
    80,866/173,636 = 173,636/x
  3. Step 3: Cross multiply
    80,866x = 173,636 × 173,636
  4. Step 4: Simplify right side
    80,866x = 30,149,460,496
  5. Step 5: Solve for x
    x = 30,149,460,496/80,866
  6. Step 6: Final answer
    x = 372,832.35

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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.