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Finding the Third Proportional to 105,546 and 227,589

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Solution

The third proportional to 105,546 and 227,589 is: 490,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,546 : 227,589 = 227,589 : x
  2. Step 2: Convert to fraction form
    105,546/227,589 = 227,589/x
  3. Step 3: Cross multiply
    105,546x = 227,589 × 227,589
  4. Step 4: Simplify right side
    105,546x = 51,796,752,921
  5. Step 5: Solve for x
    x = 51,796,752,921/105,546
  6. Step 6: Final answer
    x = 490,750.51

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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.