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Finding the Third Proportional to 106,822 and 165,351

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Solution

The third proportional to 106,822 and 165,351 is: 255,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,822 : 165,351 = 165,351 : x
  2. Step 2: Convert to fraction form
    106,822/165,351 = 165,351/x
  3. Step 3: Cross multiply
    106,822x = 165,351 × 165,351
  4. Step 4: Simplify right side
    106,822x = 27,340,953,201
  5. Step 5: Solve for x
    x = 27,340,953,201/106,822
  6. Step 6: Final answer
    x = 255,948.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.