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Finding the Third Proportional to 54,028 and 80,822

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Solution

The third proportional to 54,028 and 80,822 is: 120,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,028 : 80,822 = 80,822 : x
  2. Step 2: Convert to fraction form
    54,028/80,822 = 80,822/x
  3. Step 3: Cross multiply
    54,028x = 80,822 × 80,822
  4. Step 4: Simplify right side
    54,028x = 6,532,195,684
  5. Step 5: Solve for x
    x = 6,532,195,684/54,028
  6. Step 6: Final answer
    x = 120,903.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.