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Finding the Third Proportional to 108 and 150.19

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Solution

The third proportional to 108 and 150.19 is: 208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 150.19 = 150.19 : x
  2. Step 2: Convert to fraction form
    108/150.19 = 150.19/x
  3. Step 3: Cross multiply
    108x = 150.19 × 150.19
  4. Step 4: Simplify right side
    108x = 22,556.29
  5. Step 5: Solve for x
    x = 22,556.29/108
  6. Step 6: Final answer
    x = 208.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.