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Finding the Third Proportional to 84.09 and 119.11

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Solution

The third proportional to 84.09 and 119.11 is: 168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 119.11 = 119.11 : x
  2. Step 2: Convert to fraction form
    84.09/119.11 = 119.11/x
  3. Step 3: Cross multiply
    84.09x = 119.11 × 119.11
  4. Step 4: Simplify right side
    84.09x = 14,187.04
  5. Step 5: Solve for x
    x = 14,187.04/84.09
  6. Step 6: Final answer
    x = 168.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.