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Finding the Third Proportional to 104.37 and 171.42

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Solution

The third proportional to 104.37 and 171.42 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.37 : 171.42 = 171.42 : x
  2. Step 2: Convert to fraction form
    104.37/171.42 = 171.42/x
  3. Step 3: Cross multiply
    104.37x = 171.42 × 171.42
  4. Step 4: Simplify right side
    104.37x = 29,385.46
  5. Step 5: Solve for x
    x = 29,385.46/104.37
  6. Step 6: Final answer
    x = 281.56

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.