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Finding the Third Proportional to 51,961 and 113,643

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Solution

The third proportional to 51,961 and 113,643 is: 248,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961 : 113,643 = 113,643 : x
  2. Step 2: Convert to fraction form
    51,961/113,643 = 113,643/x
  3. Step 3: Cross multiply
    51,961x = 113,643 × 113,643
  4. Step 4: Simplify right side
    51,961x = 12,914,731,449
  5. Step 5: Solve for x
    x = 12,914,731,449/51,961
  6. Step 6: Final answer
    x = 248,546.63

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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.