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Finding the Third Proportional to 119.36 and 161.04

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Solution

The third proportional to 119.36 and 161.04 is: 217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.36 : 161.04 = 161.04 : x
  2. Step 2: Convert to fraction form
    119.36/161.04 = 161.04/x
  3. Step 3: Cross multiply
    119.36x = 161.04 × 161.04
  4. Step 4: Simplify right side
    119.36x = 25,933.58
  5. Step 5: Solve for x
    x = 25,933.58/119.36
  6. Step 6: Final answer
    x = 217.27

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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.