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Finding the Third Proportional to 71.75 and 144.44

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Solution

The third proportional to 71.75 and 144.44 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.75 : 144.44 = 144.44 : x
  2. Step 2: Convert to fraction form
    71.75/144.44 = 144.44/x
  3. Step 3: Cross multiply
    71.75x = 144.44 × 144.44
  4. Step 4: Simplify right side
    71.75x = 20,862.19
  5. Step 5: Solve for x
    x = 20,862.19/71.75
  6. Step 6: Final answer
    x = 290.76

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.