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Finding the Third Proportional to 54,285 and 111,202

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Solution

The third proportional to 54,285 and 111,202 is: 227,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,285 : 111,202 = 111,202 : x
  2. Step 2: Convert to fraction form
    54,285/111,202 = 111,202/x
  3. Step 3: Cross multiply
    54,285x = 111,202 × 111,202
  4. Step 4: Simplify right side
    54,285x = 12,365,884,804
  5. Step 5: Solve for x
    x = 12,365,884,804/54,285
  6. Step 6: Final answer
    x = 227,795.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.