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Finding the Third Proportional to 94.40 and 144.42

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Solution

The third proportional to 94.40 and 144.42 is: 220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.40 : 144.42 = 144.42 : x
  2. Step 2: Convert to fraction form
    94.40/144.42 = 144.42/x
  3. Step 3: Cross multiply
    94.40x = 144.42 × 144.42
  4. Step 4: Simplify right side
    94.40x = 20,857.68
  5. Step 5: Solve for x
    x = 20,857.68/94.40
  6. Step 6: Final answer
    x = 220.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.