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Finding the Third Proportional to 75,857 and 165,087

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Solution

The third proportional to 75,857 and 165,087 is: 359,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857 : 165,087 = 165,087 : x
  2. Step 2: Convert to fraction form
    75,857/165,087 = 165,087/x
  3. Step 3: Cross multiply
    75,857x = 165,087 × 165,087
  4. Step 4: Simplify right side
    75,857x = 27,253,717,569
  5. Step 5: Solve for x
    x = 27,253,717,569/75,857
  6. Step 6: Final answer
    x = 359,277.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.