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Finding the Third Proportional to 36,221 and 75,754

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Solution

The third proportional to 36,221 and 75,754 is: 158,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,221 : 75,754 = 75,754 : x
  2. Step 2: Convert to fraction form
    36,221/75,754 = 75,754/x
  3. Step 3: Cross multiply
    36,221x = 75,754 × 75,754
  4. Step 4: Simplify right side
    36,221x = 5,738,668,516
  5. Step 5: Solve for x
    x = 5,738,668,516/36,221
  6. Step 6: Final answer
    x = 158,434.84

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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.