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Finding the Third Proportional to 106,960 and 227,538

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Solution

The third proportional to 106,960 and 227,538 is: 484,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960 : 227,538 = 227,538 : x
  2. Step 2: Convert to fraction form
    106,960/227,538 = 227,538/x
  3. Step 3: Cross multiply
    106,960x = 227,538 × 227,538
  4. Step 4: Simplify right side
    106,960x = 51,773,541,444
  5. Step 5: Solve for x
    x = 51,773,541,444/106,960
  6. Step 6: Final answer
    x = 484,045.83

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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.