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Finding the Third Proportional to 63,992 and 102,238

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Solution

The third proportional to 63,992 and 102,238 is: 163,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,992 : 102,238 = 102,238 : x
  2. Step 2: Convert to fraction form
    63,992/102,238 = 102,238/x
  3. Step 3: Cross multiply
    63,992x = 102,238 × 102,238
  4. Step 4: Simplify right side
    63,992x = 10,452,608,644
  5. Step 5: Solve for x
    x = 10,452,608,644/63,992
  6. Step 6: Final answer
    x = 163,342.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.