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Finding the Third Proportional to 105,110 and 225,772

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Solution

The third proportional to 105,110 and 225,772 is: 484,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110 : 225,772 = 225,772 : x
  2. Step 2: Convert to fraction form
    105,110/225,772 = 225,772/x
  3. Step 3: Cross multiply
    105,110x = 225,772 × 225,772
  4. Step 4: Simplify right side
    105,110x = 50,972,995,984
  5. Step 5: Solve for x
    x = 50,972,995,984/105,110
  6. Step 6: Final answer
    x = 484,949.06

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