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Finding the Third Proportional to 80.09 and 120.49

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Solution

The third proportional to 80.09 and 120.49 is: 181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.09 : 120.49 = 120.49 : x
  2. Step 2: Convert to fraction form
    80.09/120.49 = 120.49/x
  3. Step 3: Cross multiply
    80.09x = 120.49 × 120.49
  4. Step 4: Simplify right side
    80.09x = 14,518.19
  5. Step 5: Solve for x
    x = 14,518.19/80.09
  6. Step 6: Final answer
    x = 181.27

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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.