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Finding the Third Proportional to 63,966 and 100,339

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Solution

The third proportional to 63,966 and 100,339 is: 157,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,966 : 100,339 = 100,339 : x
  2. Step 2: Convert to fraction form
    63,966/100,339 = 100,339/x
  3. Step 3: Cross multiply
    63,966x = 100,339 × 100,339
  4. Step 4: Simplify right side
    63,966x = 10,067,914,921
  5. Step 5: Solve for x
    x = 10,067,914,921/63,966
  6. Step 6: Final answer
    x = 157,394.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.