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Finding the Third Proportional to 110,813 and 150,667

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Solution

The third proportional to 110,813 and 150,667 is: 204,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,813 : 150,667 = 150,667 : x
  2. Step 2: Convert to fraction form
    110,813/150,667 = 150,667/x
  3. Step 3: Cross multiply
    110,813x = 150,667 × 150,667
  4. Step 4: Simplify right side
    110,813x = 22,700,544,889
  5. Step 5: Solve for x
    x = 22,700,544,889/110,813
  6. Step 6: Final answer
    x = 204,854.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.