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Finding the Third Proportional to 119.53 and 168.47

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Solution

The third proportional to 119.53 and 168.47 is: 237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.53 : 168.47 = 168.47 : x
  2. Step 2: Convert to fraction form
    119.53/168.47 = 168.47/x
  3. Step 3: Cross multiply
    119.53x = 168.47 × 168.47
  4. Step 4: Simplify right side
    119.53x = 28,381.72
  5. Step 5: Solve for x
    x = 28,381.72/119.53
  6. Step 6: Final answer
    x = 237.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.