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Finding the Third Proportional to 75,912 and 164,496

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Solution

The third proportional to 75,912 and 164,496 is: 356,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,912 : 164,496 = 164,496 : x
  2. Step 2: Convert to fraction form
    75,912/164,496 = 164,496/x
  3. Step 3: Cross multiply
    75,912x = 164,496 × 164,496
  4. Step 4: Simplify right side
    75,912x = 27,058,934,016
  5. Step 5: Solve for x
    x = 27,058,934,016/75,912
  6. Step 6: Final answer
    x = 356,451.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.