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Finding the Third Proportional to 75,606 and 165,684

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Solution

The third proportional to 75,606 and 165,684 is: 363,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,606 : 165,684 = 165,684 : x
  2. Step 2: Convert to fraction form
    75,606/165,684 = 165,684/x
  3. Step 3: Cross multiply
    75,606x = 165,684 × 165,684
  4. Step 4: Simplify right side
    75,606x = 27,451,187,856
  5. Step 5: Solve for x
    x = 27,451,187,856/75,606
  6. Step 6: Final answer
    x = 363,082.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.