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Finding the Third Proportional to 49,796 and 108,286

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Solution

The third proportional to 49,796 and 108,286 is: 235,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796 : 108,286 = 108,286 : x
  2. Step 2: Convert to fraction form
    49,796/108,286 = 108,286/x
  3. Step 3: Cross multiply
    49,796x = 108,286 × 108,286
  4. Step 4: Simplify right side
    49,796x = 11,725,857,796
  5. Step 5: Solve for x
    x = 11,725,857,796/49,796
  6. Step 6: Final answer
    x = 235,477.91

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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.