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Finding the Third Proportional to 149,126.50 and 225,861.75

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Solution

The third proportional to 149,126.50 and 225,861.75 is: 342,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,126.50 : 225,861.75 = 225,861.75 : x
  2. Step 2: Convert to fraction form
    149,126.50/225,861.75 = 225,861.75/x
  3. Step 3: Cross multiply
    149,126.50x = 225,861.75 × 225,861.75
  4. Step 4: Simplify right side
    149,126.50x = 51,013,530,113.06
  5. Step 5: Solve for x
    x = 51,013,530,113.06/149,126.50
  6. Step 6: Final answer
    x = 342,082.26

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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.