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Finding the Third Proportional to 49,354 and 106,589

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Solution

The third proportional to 49,354 and 106,589 is: 230,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,354 : 106,589 = 106,589 : x
  2. Step 2: Convert to fraction form
    49,354/106,589 = 106,589/x
  3. Step 3: Cross multiply
    49,354x = 106,589 × 106,589
  4. Step 4: Simplify right side
    49,354x = 11,361,214,921
  5. Step 5: Solve for x
    x = 11,361,214,921/49,354
  6. Step 6: Final answer
    x = 230,198.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.