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Finding the Third Proportional to 100,626 and 159,204

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Solution

The third proportional to 100,626 and 159,204 is: 251,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,626 : 159,204 = 159,204 : x
  2. Step 2: Convert to fraction form
    100,626/159,204 = 159,204/x
  3. Step 3: Cross multiply
    100,626x = 159,204 × 159,204
  4. Step 4: Simplify right side
    100,626x = 25,345,913,616
  5. Step 5: Solve for x
    x = 25,345,913,616/100,626
  6. Step 6: Final answer
    x = 251,882.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.