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Finding the Third Proportional to 52,024.50 and 111,939.75

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Solution

The third proportional to 52,024.50 and 111,939.75 is: 240,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024.50 : 111,939.75 = 111,939.75 : x
  2. Step 2: Convert to fraction form
    52,024.50/111,939.75 = 111,939.75/x
  3. Step 3: Cross multiply
    52,024.50x = 111,939.75 × 111,939.75
  4. Step 4: Simplify right side
    52,024.50x = 12,530,507,630.06
  5. Step 5: Solve for x
    x = 12,530,507,630.06/52,024.50
  6. Step 6: Final answer
    x = 240,857.82

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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.