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Finding the Third Proportional to 49,738 and 106,838

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Solution

The third proportional to 49,738 and 106,838 is: 229,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,738 : 106,838 = 106,838 : x
  2. Step 2: Convert to fraction form
    49,738/106,838 = 106,838/x
  3. Step 3: Cross multiply
    49,738x = 106,838 × 106,838
  4. Step 4: Simplify right side
    49,738x = 11,414,358,244
  5. Step 5: Solve for x
    x = 11,414,358,244/49,738
  6. Step 6: Final answer
    x = 229,489.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.