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Finding the Third Proportional to 121,279.50 and 180,734

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Solution

The third proportional to 121,279.50 and 180,734 is: 269,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,279.50 : 180,734 = 180,734 : x
  2. Step 2: Convert to fraction form
    121,279.50/180,734 = 180,734/x
  3. Step 3: Cross multiply
    121,279.50x = 180,734 × 180,734
  4. Step 4: Simplify right side
    121,279.50x = 32,664,778,756
  5. Step 5: Solve for x
    x = 32,664,778,756/121,279.50
  6. Step 6: Final answer
    x = 269,334.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.