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Finding the Third Proportional to 50.38 and 115.94

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Solution

The third proportional to 50.38 and 115.94 is: 266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.38 : 115.94 = 115.94 : x
  2. Step 2: Convert to fraction form
    50.38/115.94 = 115.94/x
  3. Step 3: Cross multiply
    50.38x = 115.94 × 115.94
  4. Step 4: Simplify right side
    50.38x = 13,441.50
  5. Step 5: Solve for x
    x = 13,441.50/50.38
  6. Step 6: Final answer
    x = 266.83

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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.