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Finding the Third Proportional to 82.69 and 118.84

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Solution

The third proportional to 82.69 and 118.84 is: 170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 118.84 = 118.84 : x
  2. Step 2: Convert to fraction form
    82.69/118.84 = 118.84/x
  3. Step 3: Cross multiply
    82.69x = 118.84 × 118.84
  4. Step 4: Simplify right side
    82.69x = 14,123.84
  5. Step 5: Solve for x
    x = 14,123.84/82.69
  6. Step 6: Final answer
    x = 170.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.