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Finding the Third Proportional to 95,226 and 181,812

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Solution

The third proportional to 95,226 and 181,812 is: 347,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,226 : 181,812 = 181,812 : x
  2. Step 2: Convert to fraction form
    95,226/181,812 = 181,812/x
  3. Step 3: Cross multiply
    95,226x = 181,812 × 181,812
  4. Step 4: Simplify right side
    95,226x = 33,055,603,344
  5. Step 5: Solve for x
    x = 33,055,603,344/95,226
  6. Step 6: Final answer
    x = 347,127.92

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.