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Finding the Third Proportional to 54,082 and 80,674

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Solution

The third proportional to 54,082 and 80,674 is: 120,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,082 : 80,674 = 80,674 : x
  2. Step 2: Convert to fraction form
    54,082/80,674 = 80,674/x
  3. Step 3: Cross multiply
    54,082x = 80,674 × 80,674
  4. Step 4: Simplify right side
    54,082x = 6,508,294,276
  5. Step 5: Solve for x
    x = 6,508,294,276/54,082
  6. Step 6: Final answer
    x = 120,341.23

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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.