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Finding the Third Proportional to 101,934 and 149,898

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Solution

The third proportional to 101,934 and 149,898 is: 220,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,934 : 149,898 = 149,898 : x
  2. Step 2: Convert to fraction form
    101,934/149,898 = 149,898/x
  3. Step 3: Cross multiply
    101,934x = 149,898 × 149,898
  4. Step 4: Simplify right side
    101,934x = 22,469,410,404
  5. Step 5: Solve for x
    x = 22,469,410,404/101,934
  6. Step 6: Final answer
    x = 220,430.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.