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Finding the Third Proportional to 105,542 and 227,923

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Solution

The third proportional to 105,542 and 227,923 is: 492,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,542 : 227,923 = 227,923 : x
  2. Step 2: Convert to fraction form
    105,542/227,923 = 227,923/x
  3. Step 3: Cross multiply
    105,542x = 227,923 × 227,923
  4. Step 4: Simplify right side
    105,542x = 51,948,893,929
  5. Step 5: Solve for x
    x = 51,948,893,929/105,542
  6. Step 6: Final answer
    x = 492,210.63

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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.