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Finding the Third Proportional to 75,797 and 165,042

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Solution

The third proportional to 75,797 and 165,042 is: 359,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,797 : 165,042 = 165,042 : x
  2. Step 2: Convert to fraction form
    75,797/165,042 = 165,042/x
  3. Step 3: Cross multiply
    75,797x = 165,042 × 165,042
  4. Step 4: Simplify right side
    75,797x = 27,238,861,764
  5. Step 5: Solve for x
    x = 27,238,861,764/75,797
  6. Step 6: Final answer
    x = 359,365.96

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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.