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Finding the Third Proportional to 91,016 and 135,200

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Solution

The third proportional to 91,016 and 135,200 is: 200,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,016 : 135,200 = 135,200 : x
  2. Step 2: Convert to fraction form
    91,016/135,200 = 135,200/x
  3. Step 3: Cross multiply
    91,016x = 135,200 × 135,200
  4. Step 4: Simplify right side
    91,016x = 18,279,040,000
  5. Step 5: Solve for x
    x = 18,279,040,000/91,016
  6. Step 6: Final answer
    x = 200,833.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.