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Finding the Third Proportional to 107,976 and 252,198

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Solution

The third proportional to 107,976 and 252,198 is: 589,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,976 : 252,198 = 252,198 : x
  2. Step 2: Convert to fraction form
    107,976/252,198 = 252,198/x
  3. Step 3: Cross multiply
    107,976x = 252,198 × 252,198
  4. Step 4: Simplify right side
    107,976x = 63,603,831,204
  5. Step 5: Solve for x
    x = 63,603,831,204/107,976
  6. Step 6: Final answer
    x = 589,055.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.