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Finding the Third Proportional to 66,231 and 146,286

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Solution

The third proportional to 66,231 and 146,286 is: 323,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,231 : 146,286 = 146,286 : x
  2. Step 2: Convert to fraction form
    66,231/146,286 = 146,286/x
  3. Step 3: Cross multiply
    66,231x = 146,286 × 146,286
  4. Step 4: Simplify right side
    66,231x = 21,399,593,796
  5. Step 5: Solve for x
    x = 21,399,593,796/66,231
  6. Step 6: Final answer
    x = 323,105.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.