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Finding the Third Proportional to 51,877 and 113,177

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Solution

The third proportional to 51,877 and 113,177 is: 246,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,877 : 113,177 = 113,177 : x
  2. Step 2: Convert to fraction form
    51,877/113,177 = 113,177/x
  3. Step 3: Cross multiply
    51,877x = 113,177 × 113,177
  4. Step 4: Simplify right side
    51,877x = 12,809,033,329
  5. Step 5: Solve for x
    x = 12,809,033,329/51,877
  6. Step 6: Final answer
    x = 246,911.60

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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.