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Finding the Third Proportional to 63,936 and 140,562

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Solution

The third proportional to 63,936 and 140,562 is: 309,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,936 : 140,562 = 140,562 : x
  2. Step 2: Convert to fraction form
    63,936/140,562 = 140,562/x
  3. Step 3: Cross multiply
    63,936x = 140,562 × 140,562
  4. Step 4: Simplify right side
    63,936x = 19,757,675,844
  5. Step 5: Solve for x
    x = 19,757,675,844/63,936
  6. Step 6: Final answer
    x = 309,022.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.