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Finding the Third Proportional to 105,731 and 227,966

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Solution

The third proportional to 105,731 and 227,966 is: 491,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,731 : 227,966 = 227,966 : x
  2. Step 2: Convert to fraction form
    105,731/227,966 = 227,966/x
  3. Step 3: Cross multiply
    105,731x = 227,966 × 227,966
  4. Step 4: Simplify right side
    105,731x = 51,968,497,156
  5. Step 5: Solve for x
    x = 51,968,497,156/105,731
  6. Step 6: Final answer
    x = 491,516.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.