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Finding the Third Proportional to 49,227.75 and 108,297

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Solution

The third proportional to 49,227.75 and 108,297 is: 238,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,227.75 : 108,297 = 108,297 : x
  2. Step 2: Convert to fraction form
    49,227.75/108,297 = 108,297/x
  3. Step 3: Cross multiply
    49,227.75x = 108,297 × 108,297
  4. Step 4: Simplify right side
    49,227.75x = 11,728,240,209
  5. Step 5: Solve for x
    x = 11,728,240,209/49,227.75
  6. Step 6: Final answer
    x = 238,244.49

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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.