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Finding the Third Proportional to 103,682 and 165,369

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Solution

The third proportional to 103,682 and 165,369 is: 263,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 165,369 = 165,369 : x
  2. Step 2: Convert to fraction form
    103,682/165,369 = 165,369/x
  3. Step 3: Cross multiply
    103,682x = 165,369 × 165,369
  4. Step 4: Simplify right side
    103,682x = 27,346,906,161
  5. Step 5: Solve for x
    x = 27,346,906,161/103,682
  6. Step 6: Final answer
    x = 263,757.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.