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Finding the Third Proportional to 138,591 and 193,092

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Solution

The third proportional to 138,591 and 193,092 is: 269,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,591 : 193,092 = 193,092 : x
  2. Step 2: Convert to fraction form
    138,591/193,092 = 193,092/x
  3. Step 3: Cross multiply
    138,591x = 193,092 × 193,092
  4. Step 4: Simplify right side
    138,591x = 37,284,520,464
  5. Step 5: Solve for x
    x = 37,284,520,464/138,591
  6. Step 6: Final answer
    x = 269,025.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.