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Finding the Third Proportional to 104.81 and 173.91

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Solution

The third proportional to 104.81 and 173.91 is: 288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.81 : 173.91 = 173.91 : x
  2. Step 2: Convert to fraction form
    104.81/173.91 = 173.91/x
  3. Step 3: Cross multiply
    104.81x = 173.91 × 173.91
  4. Step 4: Simplify right side
    104.81x = 30,243.38
  5. Step 5: Solve for x
    x = 30,243.38/104.81
  6. Step 6: Final answer
    x = 288.55

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.