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Finding the Third Proportional to 67.61 and 104.73

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Solution

The third proportional to 67.61 and 104.73 is: 162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.61 : 104.73 = 104.73 : x
  2. Step 2: Convert to fraction form
    67.61/104.73 = 104.73/x
  3. Step 3: Cross multiply
    67.61x = 104.73 × 104.73
  4. Step 4: Simplify right side
    67.61x = 10,968.47
  5. Step 5: Solve for x
    x = 10,968.47/67.61
  6. Step 6: Final answer
    x = 162.24

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