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Finding the Third Proportional to 50.94 and 77.19

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Solution

The third proportional to 50.94 and 77.19 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 77.19 = 77.19 : x
  2. Step 2: Convert to fraction form
    50.94/77.19 = 77.19/x
  3. Step 3: Cross multiply
    50.94x = 77.19 × 77.19
  4. Step 4: Simplify right side
    50.94x = 5,957.91
  5. Step 5: Solve for x
    x = 5,957.91/50.94
  6. Step 6: Final answer
    x = 116.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.