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Finding the Third Proportional to 51,957 and 113,631

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Solution

The third proportional to 51,957 and 113,631 is: 248,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957 : 113,631 = 113,631 : x
  2. Step 2: Convert to fraction form
    51,957/113,631 = 113,631/x
  3. Step 3: Cross multiply
    51,957x = 113,631 × 113,631
  4. Step 4: Simplify right side
    51,957x = 12,912,004,161
  5. Step 5: Solve for x
    x = 12,912,004,161/51,957
  6. Step 6: Final answer
    x = 248,513.27

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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.