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Finding the Third Proportional to 50.91 and 111.23

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Solution

The third proportional to 50.91 and 111.23 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.91 : 111.23 = 111.23 : x
  2. Step 2: Convert to fraction form
    50.91/111.23 = 111.23/x
  3. Step 3: Cross multiply
    50.91x = 111.23 × 111.23
  4. Step 4: Simplify right side
    50.91x = 12,373.09
  5. Step 5: Solve for x
    x = 12,373.09/50.91
  6. Step 6: Final answer
    x = 243.06

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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.