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Finding the Third Proportional to 52,286 and 113,698

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Solution

The third proportional to 52,286 and 113,698 is: 247,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,286 : 113,698 = 113,698 : x
  2. Step 2: Convert to fraction form
    52,286/113,698 = 113,698/x
  3. Step 3: Cross multiply
    52,286x = 113,698 × 113,698
  4. Step 4: Simplify right side
    52,286x = 12,927,235,204
  5. Step 5: Solve for x
    x = 12,927,235,204/52,286
  6. Step 6: Final answer
    x = 247,240.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.