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Finding the Third Proportional to 49,869 and 109,275

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Solution

The third proportional to 49,869 and 109,275 is: 239,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,869 : 109,275 = 109,275 : x
  2. Step 2: Convert to fraction form
    49,869/109,275 = 109,275/x
  3. Step 3: Cross multiply
    49,869x = 109,275 × 109,275
  4. Step 4: Simplify right side
    49,869x = 11,941,025,625
  5. Step 5: Solve for x
    x = 11,941,025,625/49,869
  6. Step 6: Final answer
    x = 239,447.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.