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Finding the Third Proportional to 50.48 and 122.20

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Solution

The third proportional to 50.48 and 122.20 is: 295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.48 : 122.20 = 122.20 : x
  2. Step 2: Convert to fraction form
    50.48/122.20 = 122.20/x
  3. Step 3: Cross multiply
    50.48x = 122.20 × 122.20
  4. Step 4: Simplify right side
    50.48x = 14,933.60
  5. Step 5: Solve for x
    x = 14,933.60/50.48
  6. Step 6: Final answer
    x = 295.81

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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.