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Finding the Third Proportional to 36,223 and 76,387

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Solution

The third proportional to 36,223 and 76,387 is: 161,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,223 : 76,387 = 76,387 : x
  2. Step 2: Convert to fraction form
    36,223/76,387 = 76,387/x
  3. Step 3: Cross multiply
    36,223x = 76,387 × 76,387
  4. Step 4: Simplify right side
    36,223x = 5,834,973,769
  5. Step 5: Solve for x
    x = 5,834,973,769/36,223
  6. Step 6: Final answer
    x = 161,084.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.