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Finding the Third Proportional to 52,223.25 and 107,211.75

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Solution

The third proportional to 52,223.25 and 107,211.75 is: 220,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,223.25 : 107,211.75 = 107,211.75 : x
  2. Step 2: Convert to fraction form
    52,223.25/107,211.75 = 107,211.75/x
  3. Step 3: Cross multiply
    52,223.25x = 107,211.75 × 107,211.75
  4. Step 4: Simplify right side
    52,223.25x = 11,494,359,338.06
  5. Step 5: Solve for x
    x = 11,494,359,338.06/52,223.25
  6. Step 6: Final answer
    x = 220,100.42

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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.