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Finding the Third Proportional to 91,016 and 135,821

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Solution

The third proportional to 91,016 and 135,821 is: 202,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,016 : 135,821 = 135,821 : x
  2. Step 2: Convert to fraction form
    91,016/135,821 = 135,821/x
  3. Step 3: Cross multiply
    91,016x = 135,821 × 135,821
  4. Step 4: Simplify right side
    91,016x = 18,447,344,041
  5. Step 5: Solve for x
    x = 18,447,344,041/91,016
  6. Step 6: Final answer
    x = 202,682.43

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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.