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Finding the Third Proportional to 80.68 and 121.03

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Solution

The third proportional to 80.68 and 121.03 is: 181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.68 : 121.03 = 121.03 : x
  2. Step 2: Convert to fraction form
    80.68/121.03 = 121.03/x
  3. Step 3: Cross multiply
    80.68x = 121.03 × 121.03
  4. Step 4: Simplify right side
    80.68x = 14,647.15
  5. Step 5: Solve for x
    x = 14,647.15/80.68
  6. Step 6: Final answer
    x = 181.54

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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.