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Finding the Third Proportional to 53,796.38 and 109,968.75

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Solution

The third proportional to 53,796.38 and 109,968.75 is: 224,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,796.38 : 109,968.75 = 109,968.75 : x
  2. Step 2: Convert to fraction form
    53,796.38/109,968.75 = 109,968.75/x
  3. Step 3: Cross multiply
    53,796.38x = 109,968.75 × 109,968.75
  4. Step 4: Simplify right side
    53,796.38x = 12,093,125,976.56
  5. Step 5: Solve for x
    x = 12,093,125,976.56/53,796.38
  6. Step 6: Final answer
    x = 224,794.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.