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Finding the Third Proportional to 81,767 and 182,667

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Solution

The third proportional to 81,767 and 182,667 is: 408,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,767 : 182,667 = 182,667 : x
  2. Step 2: Convert to fraction form
    81,767/182,667 = 182,667/x
  3. Step 3: Cross multiply
    81,767x = 182,667 × 182,667
  4. Step 4: Simplify right side
    81,767x = 33,367,232,889
  5. Step 5: Solve for x
    x = 33,367,232,889/81,767
  6. Step 6: Final answer
    x = 408,077.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.