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Finding the Third Proportional to 49,194 and 106,542

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Solution

The third proportional to 49,194 and 106,542 is: 230,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194 : 106,542 = 106,542 : x
  2. Step 2: Convert to fraction form
    49,194/106,542 = 106,542/x
  3. Step 3: Cross multiply
    49,194x = 106,542 × 106,542
  4. Step 4: Simplify right side
    49,194x = 11,351,197,764
  5. Step 5: Solve for x
    x = 11,351,197,764/49,194
  6. Step 6: Final answer
    x = 230,743.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.