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Finding the Third Proportional to 43,016 and 65,171

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Solution

The third proportional to 43,016 and 65,171 is: 98,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,016 : 65,171 = 65,171 : x
  2. Step 2: Convert to fraction form
    43,016/65,171 = 65,171/x
  3. Step 3: Cross multiply
    43,016x = 65,171 × 65,171
  4. Step 4: Simplify right side
    43,016x = 4,247,259,241
  5. Step 5: Solve for x
    x = 4,247,259,241/43,016
  6. Step 6: Final answer
    x = 98,736.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.