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Finding the Third Proportional to 54,082 and 80,672

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Solution

The third proportional to 54,082 and 80,672 is: 120,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,082 : 80,672 = 80,672 : x
  2. Step 2: Convert to fraction form
    54,082/80,672 = 80,672/x
  3. Step 3: Cross multiply
    54,082x = 80,672 × 80,672
  4. Step 4: Simplify right side
    54,082x = 6,507,971,584
  5. Step 5: Solve for x
    x = 6,507,971,584/54,082
  6. Step 6: Final answer
    x = 120,335.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.