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Finding the Third Proportional to 75,863 and 165,099

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Solution

The third proportional to 75,863 and 165,099 is: 359,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,863 : 165,099 = 165,099 : x
  2. Step 2: Convert to fraction form
    75,863/165,099 = 165,099/x
  3. Step 3: Cross multiply
    75,863x = 165,099 × 165,099
  4. Step 4: Simplify right side
    75,863x = 27,257,679,801
  5. Step 5: Solve for x
    x = 27,257,679,801/75,863
  6. Step 6: Final answer
    x = 359,301.37

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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.