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Finding the Third Proportional to 51,938 and 112,626

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Solution

The third proportional to 51,938 and 112,626 is: 244,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,938 : 112,626 = 112,626 : x
  2. Step 2: Convert to fraction form
    51,938/112,626 = 112,626/x
  3. Step 3: Cross multiply
    51,938x = 112,626 × 112,626
  4. Step 4: Simplify right side
    51,938x = 12,684,615,876
  5. Step 5: Solve for x
    x = 12,684,615,876/51,938
  6. Step 6: Final answer
    x = 244,226.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.