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Finding the Third Proportional to 80,793 and 172,582

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Solution

The third proportional to 80,793 and 172,582 is: 368,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,793 : 172,582 = 172,582 : x
  2. Step 2: Convert to fraction form
    80,793/172,582 = 172,582/x
  3. Step 3: Cross multiply
    80,793x = 172,582 × 172,582
  4. Step 4: Simplify right side
    80,793x = 29,784,546,724
  5. Step 5: Solve for x
    x = 29,784,546,724/80,793
  6. Step 6: Final answer
    x = 368,652.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.