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Finding the Third Proportional to 118.69 and 159.68

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Solution

The third proportional to 118.69 and 159.68 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.69 : 159.68 = 159.68 : x
  2. Step 2: Convert to fraction form
    118.69/159.68 = 159.68/x
  3. Step 3: Cross multiply
    118.69x = 159.68 × 159.68
  4. Step 4: Simplify right side
    118.69x = 25,497.60
  5. Step 5: Solve for x
    x = 25,497.60/118.69
  6. Step 6: Final answer
    x = 214.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.