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Finding the Third Proportional to 50.91 and 94.78

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Solution

The third proportional to 50.91 and 94.78 is: 176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.91 : 94.78 = 94.78 : x
  2. Step 2: Convert to fraction form
    50.91/94.78 = 94.78/x
  3. Step 3: Cross multiply
    50.91x = 94.78 × 94.78
  4. Step 4: Simplify right side
    50.91x = 8,983.49
  5. Step 5: Solve for x
    x = 8,983.49/50.91
  6. Step 6: Final answer
    x = 176.47

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.