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Finding the Third Proportional to 67.50 and 108.19

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Solution

The third proportional to 67.50 and 108.19 is: 173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 108.19 = 108.19 : x
  2. Step 2: Convert to fraction form
    67.50/108.19 = 108.19/x
  3. Step 3: Cross multiply
    67.50x = 108.19 × 108.19
  4. Step 4: Simplify right side
    67.50x = 11,704.54
  5. Step 5: Solve for x
    x = 11,704.54/67.50
  6. Step 6: Final answer
    x = 173.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.