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Finding the Third Proportional to 51,810 and 111,891

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Solution

The third proportional to 51,810 and 111,891 is: 241,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810 : 111,891 = 111,891 : x
  2. Step 2: Convert to fraction form
    51,810/111,891 = 111,891/x
  3. Step 3: Cross multiply
    51,810x = 111,891 × 111,891
  4. Step 4: Simplify right side
    51,810x = 12,519,595,881
  5. Step 5: Solve for x
    x = 12,519,595,881/51,810
  6. Step 6: Final answer
    x = 241,644.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.