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Finding the Third Proportional to 80,794 and 173,582

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Solution

The third proportional to 80,794 and 173,582 is: 372,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,794 : 173,582 = 173,582 : x
  2. Step 2: Convert to fraction form
    80,794/173,582 = 173,582/x
  3. Step 3: Cross multiply
    80,794x = 173,582 × 173,582
  4. Step 4: Simplify right side
    80,794x = 30,130,710,724
  5. Step 5: Solve for x
    x = 30,130,710,724/80,794
  6. Step 6: Final answer
    x = 372,932.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.