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Finding the Third Proportional to 149,136 and 225,876

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Solution

The third proportional to 149,136 and 225,876 is: 342,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,136 : 225,876 = 225,876 : x
  2. Step 2: Convert to fraction form
    149,136/225,876 = 225,876/x
  3. Step 3: Cross multiply
    149,136x = 225,876 × 225,876
  4. Step 4: Simplify right side
    149,136x = 51,019,967,376
  5. Step 5: Solve for x
    x = 51,019,967,376/149,136
  6. Step 6: Final answer
    x = 342,103.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.