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Finding the Third Proportional to 50.94 and 111.63

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Solution

The third proportional to 50.94 and 111.63 is: 244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 111.63 = 111.63 : x
  2. Step 2: Convert to fraction form
    50.94/111.63 = 111.63/x
  3. Step 3: Cross multiply
    50.94x = 111.63 × 111.63
  4. Step 4: Simplify right side
    50.94x = 12,460.14
  5. Step 5: Solve for x
    x = 12,460.14/50.94
  6. Step 6: Final answer
    x = 244.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.