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Finding the Third Proportional to 50.31 and 98.72

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Solution

The third proportional to 50.31 and 98.72 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.31 : 98.72 = 98.72 : x
  2. Step 2: Convert to fraction form
    50.31/98.72 = 98.72/x
  3. Step 3: Cross multiply
    50.31x = 98.72 × 98.72
  4. Step 4: Simplify right side
    50.31x = 9,745.39
  5. Step 5: Solve for x
    x = 9,745.39/50.31
  6. Step 6: Final answer
    x = 193.71

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.