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Finding the Third Proportional to 51,847 and 111,062

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Solution

The third proportional to 51,847 and 111,062 is: 237,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847 : 111,062 = 111,062 : x
  2. Step 2: Convert to fraction form
    51,847/111,062 = 111,062/x
  3. Step 3: Cross multiply
    51,847x = 111,062 × 111,062
  4. Step 4: Simplify right side
    51,847x = 12,334,767,844
  5. Step 5: Solve for x
    x = 12,334,767,844/51,847
  6. Step 6: Final answer
    x = 237,907.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.