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Finding the Third Proportional to 51,820.50 and 80,021.25

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Solution

The third proportional to 51,820.50 and 80,021.25 is: 123,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820.50 : 80,021.25 = 80,021.25 : x
  2. Step 2: Convert to fraction form
    51,820.50/80,021.25 = 80,021.25/x
  3. Step 3: Cross multiply
    51,820.50x = 80,021.25 × 80,021.25
  4. Step 4: Simplify right side
    51,820.50x = 6,403,400,451.56
  5. Step 5: Solve for x
    x = 6,403,400,451.56/51,820.50
  6. Step 6: Final answer
    x = 123,568.87

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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.