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Finding the Third Proportional to 49,104 and 107,766

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Solution

The third proportional to 49,104 and 107,766 is: 236,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104 : 107,766 = 107,766 : x
  2. Step 2: Convert to fraction form
    49,104/107,766 = 107,766/x
  3. Step 3: Cross multiply
    49,104x = 107,766 × 107,766
  4. Step 4: Simplify right side
    49,104x = 11,613,510,756
  5. Step 5: Solve for x
    x = 11,613,510,756/49,104
  6. Step 6: Final answer
    x = 236,508.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.