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Finding the Third Proportional to 50,966 and 108,907

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Solution

The third proportional to 50,966 and 108,907 is: 232,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,966 : 108,907 = 108,907 : x
  2. Step 2: Convert to fraction form
    50,966/108,907 = 108,907/x
  3. Step 3: Cross multiply
    50,966x = 108,907 × 108,907
  4. Step 4: Simplify right side
    50,966x = 11,860,734,649
  5. Step 5: Solve for x
    x = 11,860,734,649/50,966
  6. Step 6: Final answer
    x = 232,718.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.