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Finding the Third Proportional to 135,881 and 203,496

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Solution

The third proportional to 135,881 and 203,496 is: 304,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,881 : 203,496 = 203,496 : x
  2. Step 2: Convert to fraction form
    135,881/203,496 = 203,496/x
  3. Step 3: Cross multiply
    135,881x = 203,496 × 203,496
  4. Step 4: Simplify right side
    135,881x = 41,410,622,016
  5. Step 5: Solve for x
    x = 41,410,622,016/135,881
  6. Step 6: Final answer
    x = 304,756.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.