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Finding the Third Proportional to 54,004 and 80,790

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Solution

The third proportional to 54,004 and 80,790 is: 120,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,004 : 80,790 = 80,790 : x
  2. Step 2: Convert to fraction form
    54,004/80,790 = 80,790/x
  3. Step 3: Cross multiply
    54,004x = 80,790 × 80,790
  4. Step 4: Simplify right side
    54,004x = 6,527,024,100
  5. Step 5: Solve for x
    x = 6,527,024,100/54,004
  6. Step 6: Final answer
    x = 120,861.86

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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.