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Finding the Third Proportional to 52,013.87 and 111,921.43

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Solution

The third proportional to 52,013.87 and 111,921.43 is: 240,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013.87 : 111,921.43 = 111,921.43 : x
  2. Step 2: Convert to fraction form
    52,013.87/111,921.43 = 111,921.43/x
  3. Step 3: Cross multiply
    52,013.87x = 111,921.43 × 111,921.43
  4. Step 4: Simplify right side
    52,013.87x = 12,526,407,297.68
  5. Step 5: Solve for x
    x = 12,526,407,297.68/52,013.87
  6. Step 6: Final answer
    x = 240,828.23

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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.