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Finding the Third Proportional to 80.06 and 124.22

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Solution

The third proportional to 80.06 and 124.22 is: 192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.06 : 124.22 = 124.22 : x
  2. Step 2: Convert to fraction form
    80.06/124.22 = 124.22/x
  3. Step 3: Cross multiply
    80.06x = 124.22 × 124.22
  4. Step 4: Simplify right side
    80.06x = 15,430.30
  5. Step 5: Solve for x
    x = 15,430.30/80.06
  6. Step 6: Final answer
    x = 192.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.