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Finding the Third Proportional to 51.96 and 101.39

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Solution

The third proportional to 51.96 and 101.39 is: 197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.96 : 101.39 = 101.39 : x
  2. Step 2: Convert to fraction form
    51.96/101.39 = 101.39/x
  3. Step 3: Cross multiply
    51.96x = 101.39 × 101.39
  4. Step 4: Simplify right side
    51.96x = 10,280.06
  5. Step 5: Solve for x
    x = 10,280.06/51.96
  6. Step 6: Final answer
    x = 197.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.