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Finding the Third Proportional to 41,431 and 88,667

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Solution

The third proportional to 41,431 and 88,667 is: 189,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,431 : 88,667 = 88,667 : x
  2. Step 2: Convert to fraction form
    41,431/88,667 = 88,667/x
  3. Step 3: Cross multiply
    41,431x = 88,667 × 88,667
  4. Step 4: Simplify right side
    41,431x = 7,861,836,889
  5. Step 5: Solve for x
    x = 7,861,836,889/41,431
  6. Step 6: Final answer
    x = 189,757.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.