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Finding the Third Proportional to 109,938.75 and 239,550.75

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Solution

The third proportional to 109,938.75 and 239,550.75 is: 521,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,938.75 : 239,550.75 = 239,550.75 : x
  2. Step 2: Convert to fraction form
    109,938.75/239,550.75 = 239,550.75/x
  3. Step 3: Cross multiply
    109,938.75x = 239,550.75 × 239,550.75
  4. Step 4: Simplify right side
    109,938.75x = 57,384,561,825.56
  5. Step 5: Solve for x
    x = 57,384,561,825.56/109,938.75
  6. Step 6: Final answer
    x = 521,968.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.