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Finding the Third Proportional to 75,832 and 165,041

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Solution

The third proportional to 75,832 and 165,041 is: 359,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,832 : 165,041 = 165,041 : x
  2. Step 2: Convert to fraction form
    75,832/165,041 = 165,041/x
  3. Step 3: Cross multiply
    75,832x = 165,041 × 165,041
  4. Step 4: Simplify right side
    75,832x = 27,238,531,681
  5. Step 5: Solve for x
    x = 27,238,531,681/75,832
  6. Step 6: Final answer
    x = 359,195.74

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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.