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Finding the Third Proportional to 51,787 and 113,267

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Solution

The third proportional to 51,787 and 113,267 is: 247,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,787 : 113,267 = 113,267 : x
  2. Step 2: Convert to fraction form
    51,787/113,267 = 113,267/x
  3. Step 3: Cross multiply
    51,787x = 113,267 × 113,267
  4. Step 4: Simplify right side
    51,787x = 12,829,413,289
  5. Step 5: Solve for x
    x = 12,829,413,289/51,787
  6. Step 6: Final answer
    x = 247,734.24

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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.