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Finding the Third Proportional to 51,743 and 113,647

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Solution

The third proportional to 51,743 and 113,647 is: 249,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,743 : 113,647 = 113,647 : x
  2. Step 2: Convert to fraction form
    51,743/113,647 = 113,647/x
  3. Step 3: Cross multiply
    51,743x = 113,647 × 113,647
  4. Step 4: Simplify right side
    51,743x = 12,915,640,609
  5. Step 5: Solve for x
    x = 12,915,640,609/51,743
  6. Step 6: Final answer
    x = 249,611.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.