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Finding the Third Proportional to 80,922 and 165,057

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Solution

The third proportional to 80,922 and 165,057 is: 336,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,922 : 165,057 = 165,057 : x
  2. Step 2: Convert to fraction form
    80,922/165,057 = 165,057/x
  3. Step 3: Cross multiply
    80,922x = 165,057 × 165,057
  4. Step 4: Simplify right side
    80,922x = 27,243,813,249
  5. Step 5: Solve for x
    x = 27,243,813,249/80,922
  6. Step 6: Final answer
    x = 336,667.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.