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Finding the Third Proportional to 67.22 and 124.73

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Solution

The third proportional to 67.22 and 124.73 is: 231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.22 : 124.73 = 124.73 : x
  2. Step 2: Convert to fraction form
    67.22/124.73 = 124.73/x
  3. Step 3: Cross multiply
    67.22x = 124.73 × 124.73
  4. Step 4: Simplify right side
    67.22x = 15,558.66
  5. Step 5: Solve for x
    x = 15,558.66/67.22
  6. Step 6: Final answer
    x = 231.46

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.