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Finding the Third Proportional to 49,876 and 78,966

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Solution

The third proportional to 49,876 and 78,966 is: 125,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,876 : 78,966 = 78,966 : x
  2. Step 2: Convert to fraction form
    49,876/78,966 = 78,966/x
  3. Step 3: Cross multiply
    49,876x = 78,966 × 78,966
  4. Step 4: Simplify right side
    49,876x = 6,235,629,156
  5. Step 5: Solve for x
    x = 6,235,629,156/49,876
  6. Step 6: Final answer
    x = 125,022.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.