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Finding the Third Proportional to 75,175 and 162,227

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Solution

The third proportional to 75,175 and 162,227 is: 350,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,175 : 162,227 = 162,227 : x
  2. Step 2: Convert to fraction form
    75,175/162,227 = 162,227/x
  3. Step 3: Cross multiply
    75,175x = 162,227 × 162,227
  4. Step 4: Simplify right side
    75,175x = 26,317,599,529
  5. Step 5: Solve for x
    x = 26,317,599,529/75,175
  6. Step 6: Final answer
    x = 350,084.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.