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Finding the Third Proportional to 67.50 and 104.48

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Solution

The third proportional to 67.50 and 104.48 is: 161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 104.48 = 104.48 : x
  2. Step 2: Convert to fraction form
    67.50/104.48 = 104.48/x
  3. Step 3: Cross multiply
    67.50x = 104.48 × 104.48
  4. Step 4: Simplify right side
    67.50x = 10,916.98
  5. Step 5: Solve for x
    x = 10,916.98/67.50
  6. Step 6: Final answer
    x = 161.73

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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.