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Finding the Third Proportional to 52,123 and 113,806

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Solution

The third proportional to 52,123 and 113,806 is: 248,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,123 : 113,806 = 113,806 : x
  2. Step 2: Convert to fraction form
    52,123/113,806 = 113,806/x
  3. Step 3: Cross multiply
    52,123x = 113,806 × 113,806
  4. Step 4: Simplify right side
    52,123x = 12,951,805,636
  5. Step 5: Solve for x
    x = 12,951,805,636/52,123
  6. Step 6: Final answer
    x = 248,485.42

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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.