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Finding the Third Proportional to 105,861 and 227,073

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Solution

The third proportional to 105,861 and 227,073 is: 487,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,861 : 227,073 = 227,073 : x
  2. Step 2: Convert to fraction form
    105,861/227,073 = 227,073/x
  3. Step 3: Cross multiply
    105,861x = 227,073 × 227,073
  4. Step 4: Simplify right side
    105,861x = 51,562,147,329
  5. Step 5: Solve for x
    x = 51,562,147,329/105,861
  6. Step 6: Final answer
    x = 487,074.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.