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Finding the Third Proportional to 105,879 and 227,106

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Solution

The third proportional to 105,879 and 227,106 is: 487,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,879 : 227,106 = 227,106 : x
  2. Step 2: Convert to fraction form
    105,879/227,106 = 227,106/x
  3. Step 3: Cross multiply
    105,879x = 227,106 × 227,106
  4. Step 4: Simplify right side
    105,879x = 51,577,135,236
  5. Step 5: Solve for x
    x = 51,577,135,236/105,879
  6. Step 6: Final answer
    x = 487,132.81

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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.