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Finding the Third Proportional to 36,273 and 75,827

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Solution

The third proportional to 36,273 and 75,827 is: 158,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,273 : 75,827 = 75,827 : x
  2. Step 2: Convert to fraction form
    36,273/75,827 = 75,827/x
  3. Step 3: Cross multiply
    36,273x = 75,827 × 75,827
  4. Step 4: Simplify right side
    36,273x = 5,749,733,929
  5. Step 5: Solve for x
    x = 5,749,733,929/36,273
  6. Step 6: Final answer
    x = 158,512.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.