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Finding the Third Proportional to 36,920 and 81,224

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Solution

The third proportional to 36,920 and 81,224 is: 178,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,920 : 81,224 = 81,224 : x
  2. Step 2: Convert to fraction form
    36,920/81,224 = 81,224/x
  3. Step 3: Cross multiply
    36,920x = 81,224 × 81,224
  4. Step 4: Simplify right side
    36,920x = 6,597,338,176
  5. Step 5: Solve for x
    x = 6,597,338,176/36,920
  6. Step 6: Final answer
    x = 178,692.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.