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Finding the Third Proportional to 49,623 and 76,857

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Solution

The third proportional to 49,623 and 76,857 is: 119,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,623 : 76,857 = 76,857 : x
  2. Step 2: Convert to fraction form
    49,623/76,857 = 76,857/x
  3. Step 3: Cross multiply
    49,623x = 76,857 × 76,857
  4. Step 4: Simplify right side
    49,623x = 5,906,998,449
  5. Step 5: Solve for x
    x = 5,906,998,449/49,623
  6. Step 6: Final answer
    x = 119,037.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.