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Finding the Third Proportional to 94,204 and 142,266

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Solution

The third proportional to 94,204 and 142,266 is: 214,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,204 : 142,266 = 142,266 : x
  2. Step 2: Convert to fraction form
    94,204/142,266 = 142,266/x
  3. Step 3: Cross multiply
    94,204x = 142,266 × 142,266
  4. Step 4: Simplify right side
    94,204x = 20,239,614,756
  5. Step 5: Solve for x
    x = 20,239,614,756/94,204
  6. Step 6: Final answer
    x = 214,848.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.