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Finding the Third Proportional to 79,317 and 172,836

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Solution

The third proportional to 79,317 and 172,836 is: 376,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,317 : 172,836 = 172,836 : x
  2. Step 2: Convert to fraction form
    79,317/172,836 = 172,836/x
  3. Step 3: Cross multiply
    79,317x = 172,836 × 172,836
  4. Step 4: Simplify right side
    79,317x = 29,872,282,896
  5. Step 5: Solve for x
    x = 29,872,282,896/79,317
  6. Step 6: Final answer
    x = 376,618.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.