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Finding the Third Proportional to 36,922 and 81,228

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Solution

The third proportional to 36,922 and 81,228 is: 178,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,922 : 81,228 = 81,228 : x
  2. Step 2: Convert to fraction form
    36,922/81,228 = 81,228/x
  3. Step 3: Cross multiply
    36,922x = 81,228 × 81,228
  4. Step 4: Simplify right side
    36,922x = 6,597,987,984
  5. Step 5: Solve for x
    x = 6,597,987,984/36,922
  6. Step 6: Final answer
    x = 178,700.72

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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.