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Finding the Third Proportional to 52,003.50 and 79,949.25

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Solution

The third proportional to 52,003.50 and 79,949.25 is: 122,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,003.50 : 79,949.25 = 79,949.25 : x
  2. Step 2: Convert to fraction form
    52,003.50/79,949.25 = 79,949.25/x
  3. Step 3: Cross multiply
    52,003.50x = 79,949.25 × 79,949.25
  4. Step 4: Simplify right side
    52,003.50x = 6,391,882,575.56
  5. Step 5: Solve for x
    x = 6,391,882,575.56/52,003.50
  6. Step 6: Final answer
    x = 122,912.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.