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Finding the Third Proportional to 63,886 and 98,062

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Solution

The third proportional to 63,886 and 98,062 is: 150,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,886 : 98,062 = 98,062 : x
  2. Step 2: Convert to fraction form
    63,886/98,062 = 98,062/x
  3. Step 3: Cross multiply
    63,886x = 98,062 × 98,062
  4. Step 4: Simplify right side
    63,886x = 9,616,155,844
  5. Step 5: Solve for x
    x = 9,616,155,844/63,886
  6. Step 6: Final answer
    x = 150,520.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.