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Finding the Third Proportional to 50.44 and 85.97

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Solution

The third proportional to 50.44 and 85.97 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.44 : 85.97 = 85.97 : x
  2. Step 2: Convert to fraction form
    50.44/85.97 = 85.97/x
  3. Step 3: Cross multiply
    50.44x = 85.97 × 85.97
  4. Step 4: Simplify right side
    50.44x = 7,390.63
  5. Step 5: Solve for x
    x = 7,390.63/50.44
  6. Step 6: Final answer
    x = 146.53

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.