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Finding the Third Proportional to 96,751 and 146,589

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Solution

The third proportional to 96,751 and 146,589 is: 222,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,751 : 146,589 = 146,589 : x
  2. Step 2: Convert to fraction form
    96,751/146,589 = 146,589/x
  3. Step 3: Cross multiply
    96,751x = 146,589 × 146,589
  4. Step 4: Simplify right side
    96,751x = 21,488,334,921
  5. Step 5: Solve for x
    x = 21,488,334,921/96,751
  6. Step 6: Final answer
    x = 222,099.36

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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.