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Finding the Third Proportional to 51,981 and 110,163

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Solution

The third proportional to 51,981 and 110,163 is: 233,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981 : 110,163 = 110,163 : x
  2. Step 2: Convert to fraction form
    51,981/110,163 = 110,163/x
  3. Step 3: Cross multiply
    51,981x = 110,163 × 110,163
  4. Step 4: Simplify right side
    51,981x = 12,135,886,569
  5. Step 5: Solve for x
    x = 12,135,886,569/51,981
  6. Step 6: Final answer
    x = 233,467.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.