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Finding the Third Proportional to 49,992.75 and 109,005.75

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Solution

The third proportional to 49,992.75 and 109,005.75 is: 237,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,992.75 : 109,005.75 = 109,005.75 : x
  2. Step 2: Convert to fraction form
    49,992.75/109,005.75 = 109,005.75/x
  3. Step 3: Cross multiply
    49,992.75x = 109,005.75 × 109,005.75
  4. Step 4: Simplify right side
    49,992.75x = 11,882,253,533.06
  5. Step 5: Solve for x
    x = 11,882,253,533.06/49,992.75
  6. Step 6: Final answer
    x = 237,679.53

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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.