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Finding the Third Proportional to 84,043 and 182,087

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Solution

The third proportional to 84,043 and 182,087 is: 394,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,043 : 182,087 = 182,087 : x
  2. Step 2: Convert to fraction form
    84,043/182,087 = 182,087/x
  3. Step 3: Cross multiply
    84,043x = 182,087 × 182,087
  4. Step 4: Simplify right side
    84,043x = 33,155,675,569
  5. Step 5: Solve for x
    x = 33,155,675,569/84,043
  6. Step 6: Final answer
    x = 394,508.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.