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Finding the Third Proportional to 63,890 and 98,067

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Solution

The third proportional to 63,890 and 98,067 is: 150,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,890 : 98,067 = 98,067 : x
  2. Step 2: Convert to fraction form
    63,890/98,067 = 98,067/x
  3. Step 3: Cross multiply
    63,890x = 98,067 × 98,067
  4. Step 4: Simplify right side
    63,890x = 9,617,136,489
  5. Step 5: Solve for x
    x = 9,617,136,489/63,890
  6. Step 6: Final answer
    x = 150,526.48

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Why These Related Problems?

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