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Finding the Third Proportional to 131,997 and 270,146

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Solution

The third proportional to 131,997 and 270,146 is: 552,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,997 : 270,146 = 270,146 : x
  2. Step 2: Convert to fraction form
    131,997/270,146 = 270,146/x
  3. Step 3: Cross multiply
    131,997x = 270,146 × 270,146
  4. Step 4: Simplify right side
    131,997x = 72,978,861,316
  5. Step 5: Solve for x
    x = 72,978,861,316/131,997
  6. Step 6: Final answer
    x = 552,882.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.