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Finding the Third Proportional to 80.34 and 120.47

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Solution

The third proportional to 80.34 and 120.47 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 120.47 = 120.47 : x
  2. Step 2: Convert to fraction form
    80.34/120.47 = 120.47/x
  3. Step 3: Cross multiply
    80.34x = 120.47 × 120.47
  4. Step 4: Simplify right side
    80.34x = 14,512.72
  5. Step 5: Solve for x
    x = 14,512.72/80.34
  6. Step 6: Final answer
    x = 180.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.