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Finding the Third Proportional to 50.73 and 116.44

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Solution

The third proportional to 50.73 and 116.44 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.73 : 116.44 = 116.44 : x
  2. Step 2: Convert to fraction form
    50.73/116.44 = 116.44/x
  3. Step 3: Cross multiply
    50.73x = 116.44 × 116.44
  4. Step 4: Simplify right side
    50.73x = 13,557.69
  5. Step 5: Solve for x
    x = 13,557.69/50.73
  6. Step 6: Final answer
    x = 267.25

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.