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Finding the Third Proportional to 49,620.75 and 109,083

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Solution

The third proportional to 49,620.75 and 109,083 is: 239,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,620.75 : 109,083 = 109,083 : x
  2. Step 2: Convert to fraction form
    49,620.75/109,083 = 109,083/x
  3. Step 3: Cross multiply
    49,620.75x = 109,083 × 109,083
  4. Step 4: Simplify right side
    49,620.75x = 11,899,100,889
  5. Step 5: Solve for x
    x = 11,899,100,889/49,620.75
  6. Step 6: Final answer
    x = 239,800.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.