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Finding the Third Proportional to 70,227 and 146,286

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Solution

The third proportional to 70,227 and 146,286 is: 304,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,227 : 146,286 = 146,286 : x
  2. Step 2: Convert to fraction form
    70,227/146,286 = 146,286/x
  3. Step 3: Cross multiply
    70,227x = 146,286 × 146,286
  4. Step 4: Simplify right side
    70,227x = 21,399,593,796
  5. Step 5: Solve for x
    x = 21,399,593,796/70,227
  6. Step 6: Final answer
    x = 304,720.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.