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Finding the Third Proportional to 104,467 and 159,149

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Solution

The third proportional to 104,467 and 159,149 is: 242,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,467 : 159,149 = 159,149 : x
  2. Step 2: Convert to fraction form
    104,467/159,149 = 159,149/x
  3. Step 3: Cross multiply
    104,467x = 159,149 × 159,149
  4. Step 4: Simplify right side
    104,467x = 25,328,404,201
  5. Step 5: Solve for x
    x = 25,328,404,201/104,467
  6. Step 6: Final answer
    x = 242,453.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.