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Finding the Third Proportional to 52,221.75 and 107,208.75

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Solution

The third proportional to 52,221.75 and 107,208.75 is: 220,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,221.75 : 107,208.75 = 107,208.75 : x
  2. Step 2: Convert to fraction form
    52,221.75/107,208.75 = 107,208.75/x
  3. Step 3: Cross multiply
    52,221.75x = 107,208.75 × 107,208.75
  4. Step 4: Simplify right side
    52,221.75x = 11,493,716,076.56
  5. Step 5: Solve for x
    x = 11,493,716,076.56/52,221.75
  6. Step 6: Final answer
    x = 220,094.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.