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Finding the Third Proportional to 100,603 and 150,917

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Solution

The third proportional to 100,603 and 150,917 is: 226,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,603 : 150,917 = 150,917 : x
  2. Step 2: Convert to fraction form
    100,603/150,917 = 150,917/x
  3. Step 3: Cross multiply
    100,603x = 150,917 × 150,917
  4. Step 4: Simplify right side
    100,603x = 22,775,940,889
  5. Step 5: Solve for x
    x = 22,775,940,889/100,603
  6. Step 6: Final answer
    x = 226,394.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.