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Finding the Third Proportional to 66,864 and 142,392

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Solution

The third proportional to 66,864 and 142,392 is: 303,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,864 : 142,392 = 142,392 : x
  2. Step 2: Convert to fraction form
    66,864/142,392 = 142,392/x
  3. Step 3: Cross multiply
    66,864x = 142,392 × 142,392
  4. Step 4: Simplify right side
    66,864x = 20,275,481,664
  5. Step 5: Solve for x
    x = 20,275,481,664/66,864
  6. Step 6: Final answer
    x = 303,234.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.