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Finding the Third Proportional to 49,227.75 and 107,480.25

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Solution

The third proportional to 49,227.75 and 107,480.25 is: 234,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,227.75 : 107,480.25 = 107,480.25 : x
  2. Step 2: Convert to fraction form
    49,227.75/107,480.25 = 107,480.25/x
  3. Step 3: Cross multiply
    49,227.75x = 107,480.25 × 107,480.25
  4. Step 4: Simplify right side
    49,227.75x = 11,552,004,140.06
  5. Step 5: Solve for x
    x = 11,552,004,140.06/49,227.75
  6. Step 6: Final answer
    x = 234,664.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.