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Finding the Third Proportional to 36,857 and 75,901

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Solution

The third proportional to 36,857 and 75,901 is: 156,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,857 : 75,901 = 75,901 : x
  2. Step 2: Convert to fraction form
    36,857/75,901 = 75,901/x
  3. Step 3: Cross multiply
    36,857x = 75,901 × 75,901
  4. Step 4: Simplify right side
    36,857x = 5,760,961,801
  5. Step 5: Solve for x
    x = 5,760,961,801/36,857
  6. Step 6: Final answer
    x = 156,305.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.