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Finding the Third Proportional to 109,684 and 165,876

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Solution

The third proportional to 109,684 and 165,876 is: 250,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,684 : 165,876 = 165,876 : x
  2. Step 2: Convert to fraction form
    109,684/165,876 = 165,876/x
  3. Step 3: Cross multiply
    109,684x = 165,876 × 165,876
  4. Step 4: Simplify right side
    109,684x = 27,514,847,376
  5. Step 5: Solve for x
    x = 27,514,847,376/109,684
  6. Step 6: Final answer
    x = 250,855.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.