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Finding the Third Proportional to 50.88 and 81.94

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Solution

The third proportional to 50.88 and 81.94 is: 131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.88 : 81.94 = 81.94 : x
  2. Step 2: Convert to fraction form
    50.88/81.94 = 81.94/x
  3. Step 3: Cross multiply
    50.88x = 81.94 × 81.94
  4. Step 4: Simplify right side
    50.88x = 6,713.75
  5. Step 5: Solve for x
    x = 6,713.75/50.88
  6. Step 6: Final answer
    x = 131.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.