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Finding the Third Proportional to 105,890 and 227,134

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Solution

The third proportional to 105,890 and 227,134 is: 487,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,890 : 227,134 = 227,134 : x
  2. Step 2: Convert to fraction form
    105,890/227,134 = 227,134/x
  3. Step 3: Cross multiply
    105,890x = 227,134 × 227,134
  4. Step 4: Simplify right side
    105,890x = 51,589,853,956
  5. Step 5: Solve for x
    x = 51,589,853,956/105,890
  6. Step 6: Final answer
    x = 487,202.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.