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Finding the Third Proportional to 51,647 and 113,122

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Solution

The third proportional to 51,647 and 113,122 is: 247,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,647 : 113,122 = 113,122 : x
  2. Step 2: Convert to fraction form
    51,647/113,122 = 113,122/x
  3. Step 3: Cross multiply
    51,647x = 113,122 × 113,122
  4. Step 4: Simplify right side
    51,647x = 12,796,586,884
  5. Step 5: Solve for x
    x = 12,796,586,884/51,647
  6. Step 6: Final answer
    x = 247,770.19

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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.