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Finding the Third Proportional to 111,717.75 and 239,425.13

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Solution

The third proportional to 111,717.75 and 239,425.13 is: 513,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,717.75 : 239,425.13 = 239,425.13 : x
  2. Step 2: Convert to fraction form
    111,717.75/239,425.13 = 239,425.13/x
  3. Step 3: Cross multiply
    111,717.75x = 239,425.13 × 239,425.13
  4. Step 4: Simplify right side
    111,717.75x = 57,324,390,481.27
  5. Step 5: Solve for x
    x = 57,324,390,481.27/111,717.75
  6. Step 6: Final answer
    x = 513,118.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.