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Finding the Third Proportional to 80,256.75 and 119,229.75

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Solution

The third proportional to 80,256.75 and 119,229.75 is: 177,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,256.75 : 119,229.75 = 119,229.75 : x
  2. Step 2: Convert to fraction form
    80,256.75/119,229.75 = 119,229.75/x
  3. Step 3: Cross multiply
    80,256.75x = 119,229.75 × 119,229.75
  4. Step 4: Simplify right side
    80,256.75x = 14,215,733,285.06
  5. Step 5: Solve for x
    x = 14,215,733,285.06/80,256.75
  6. Step 6: Final answer
    x = 177,128.20

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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.