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Finding the Third Proportional to 75,081 and 163,227

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Solution

The third proportional to 75,081 and 163,227 is: 354,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,081 : 163,227 = 163,227 : x
  2. Step 2: Convert to fraction form
    75,081/163,227 = 163,227/x
  3. Step 3: Cross multiply
    75,081x = 163,227 × 163,227
  4. Step 4: Simplify right side
    75,081x = 26,643,053,529
  5. Step 5: Solve for x
    x = 26,643,053,529/75,081
  6. Step 6: Final answer
    x = 354,857.47

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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.