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Finding the Third Proportional to 51,853.50 and 111,589.31

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Solution

The third proportional to 51,853.50 and 111,589.31 is: 240,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853.50 : 111,589.31 = 111,589.31 : x
  2. Step 2: Convert to fraction form
    51,853.50/111,589.31 = 111,589.31/x
  3. Step 3: Cross multiply
    51,853.50x = 111,589.31 × 111,589.31
  4. Step 4: Simplify right side
    51,853.50x = 12,452,174,664.22
  5. Step 5: Solve for x
    x = 12,452,174,664.22/51,853.50
  6. Step 6: Final answer
    x = 240,141.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.