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Finding the Third Proportional to 63,886 and 140,328

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Solution

The third proportional to 63,886 and 140,328 is: 308,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,886 : 140,328 = 140,328 : x
  2. Step 2: Convert to fraction form
    63,886/140,328 = 140,328/x
  3. Step 3: Cross multiply
    63,886x = 140,328 × 140,328
  4. Step 4: Simplify right side
    63,886x = 19,691,947,584
  5. Step 5: Solve for x
    x = 19,691,947,584/63,886
  6. Step 6: Final answer
    x = 308,235.73

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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.