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Finding the Third Proportional to 49,876 and 106,758

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Solution

The third proportional to 49,876 and 106,758 is: 228,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,876 : 106,758 = 106,758 : x
  2. Step 2: Convert to fraction form
    49,876/106,758 = 106,758/x
  3. Step 3: Cross multiply
    49,876x = 106,758 × 106,758
  4. Step 4: Simplify right side
    49,876x = 11,397,270,564
  5. Step 5: Solve for x
    x = 11,397,270,564/49,876
  6. Step 6: Final answer
    x = 228,512.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.