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Finding the Third Proportional to 149,129 and 225,865

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Solution

The third proportional to 149,129 and 225,865 is: 342,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129 : 225,865 = 225,865 : x
  2. Step 2: Convert to fraction form
    149,129/225,865 = 225,865/x
  3. Step 3: Cross multiply
    149,129x = 225,865 × 225,865
  4. Step 4: Simplify right side
    149,129x = 51,014,998,225
  5. Step 5: Solve for x
    x = 51,014,998,225/149,129
  6. Step 6: Final answer
    x = 342,086.37

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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.