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Finding the Third Proportional to 52,044.82 and 111,983.34

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Solution

The third proportional to 52,044.82 and 111,983.34 is: 240,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,044.82 : 111,983.34 = 111,983.34 : x
  2. Step 2: Convert to fraction form
    52,044.82/111,983.34 = 111,983.34/x
  3. Step 3: Cross multiply
    52,044.82x = 111,983.34 × 111,983.34
  4. Step 4: Simplify right side
    52,044.82x = 12,540,269,277.43
  5. Step 5: Solve for x
    x = 12,540,269,277.43/52,044.82
  6. Step 6: Final answer
    x = 240,951.34

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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.