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Finding the Third Proportional to 71,895 and 151,227

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Solution

The third proportional to 71,895 and 151,227 is: 318,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,895 : 151,227 = 151,227 : x
  2. Step 2: Convert to fraction form
    71,895/151,227 = 151,227/x
  3. Step 3: Cross multiply
    71,895x = 151,227 × 151,227
  4. Step 4: Simplify right side
    71,895x = 22,869,605,529
  5. Step 5: Solve for x
    x = 22,869,605,529/71,895
  6. Step 6: Final answer
    x = 318,097.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.