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Finding the Third Proportional to 111,064.92 and 261,921.09

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Solution

The third proportional to 111,064.92 and 261,921.09 is: 617,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,064.92 : 261,921.09 = 261,921.09 : x
  2. Step 2: Convert to fraction form
    111,064.92/261,921.09 = 261,921.09/x
  3. Step 3: Cross multiply
    111,064.92x = 261,921.09 × 261,921.09
  4. Step 4: Simplify right side
    111,064.92x = 68,602,659,351.20
  5. Step 5: Solve for x
    x = 68,602,659,351.20/111,064.92
  6. Step 6: Final answer
    x = 617,680.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.