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Finding the Third Proportional to 70.75 and 171.44

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Solution

The third proportional to 70.75 and 171.44 is: 415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 171.44 = 171.44 : x
  2. Step 2: Convert to fraction form
    70.75/171.44 = 171.44/x
  3. Step 3: Cross multiply
    70.75x = 171.44 × 171.44
  4. Step 4: Simplify right side
    70.75x = 29,390.82
  5. Step 5: Solve for x
    x = 29,390.82/70.75
  6. Step 6: Final answer
    x = 415.42

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.