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Finding the Third Proportional to 107,979.75 and 252,252.56

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Solution

The third proportional to 107,979.75 and 252,252.56 is: 589,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,979.75 : 252,252.56 = 252,252.56 : x
  2. Step 2: Convert to fraction form
    107,979.75/252,252.56 = 252,252.56/x
  3. Step 3: Cross multiply
    107,979.75x = 252,252.56 × 252,252.56
  4. Step 4: Simplify right side
    107,979.75x = 63,631,355,287.82
  5. Step 5: Solve for x
    x = 63,631,355,287.82/107,979.75
  6. Step 6: Final answer
    x = 589,289.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.