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Finding the Third Proportional to 49,107 and 105,933

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Solution

The third proportional to 49,107 and 105,933 is: 228,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,107 : 105,933 = 105,933 : x
  2. Step 2: Convert to fraction form
    49,107/105,933 = 105,933/x
  3. Step 3: Cross multiply
    49,107x = 105,933 × 105,933
  4. Step 4: Simplify right side
    49,107x = 11,221,800,489
  5. Step 5: Solve for x
    x = 11,221,800,489/49,107
  6. Step 6: Final answer
    x = 228,517.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.