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Finding the Third Proportional to 136.50 and 169.13

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Solution

The third proportional to 136.50 and 169.13 is: 209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.50 : 169.13 = 169.13 : x
  2. Step 2: Convert to fraction form
    136.50/169.13 = 169.13/x
  3. Step 3: Cross multiply
    136.50x = 169.13 × 169.13
  4. Step 4: Simplify right side
    136.50x = 28,603.27
  5. Step 5: Solve for x
    x = 28,603.27/136.50
  6. Step 6: Final answer
    x = 209.55

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.