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Finding the Third Proportional to 50,767 and 75,857

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Solution

The third proportional to 50,767 and 75,857 is: 113,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,767 : 75,857 = 75,857 : x
  2. Step 2: Convert to fraction form
    50,767/75,857 = 75,857/x
  3. Step 3: Cross multiply
    50,767x = 75,857 × 75,857
  4. Step 4: Simplify right side
    50,767x = 5,754,284,449
  5. Step 5: Solve for x
    x = 5,754,284,449/50,767
  6. Step 6: Final answer
    x = 113,346.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.