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Finding the Third Proportional to 50.14 and 121.49

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Solution

The third proportional to 50.14 and 121.49 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.14 : 121.49 = 121.49 : x
  2. Step 2: Convert to fraction form
    50.14/121.49 = 121.49/x
  3. Step 3: Cross multiply
    50.14x = 121.49 × 121.49
  4. Step 4: Simplify right side
    50.14x = 14,759.03
  5. Step 5: Solve for x
    x = 14,759.03/50.14
  6. Step 6: Final answer
    x = 294.37

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.