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Finding the Third Proportional to 54,192 and 80,880

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Solution

The third proportional to 54,192 and 80,880 is: 120,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,192 : 80,880 = 80,880 : x
  2. Step 2: Convert to fraction form
    54,192/80,880 = 80,880/x
  3. Step 3: Cross multiply
    54,192x = 80,880 × 80,880
  4. Step 4: Simplify right side
    54,192x = 6,541,574,400
  5. Step 5: Solve for x
    x = 6,541,574,400/54,192
  6. Step 6: Final answer
    x = 120,711.07

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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.