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Finding the Third Proportional to 101,856 and 149,661

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Solution

The third proportional to 101,856 and 149,661 is: 219,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856 : 149,661 = 149,661 : x
  2. Step 2: Convert to fraction form
    101,856/149,661 = 149,661/x
  3. Step 3: Cross multiply
    101,856x = 149,661 × 149,661
  4. Step 4: Simplify right side
    101,856x = 22,398,414,921
  5. Step 5: Solve for x
    x = 22,398,414,921/101,856
  6. Step 6: Final answer
    x = 219,902.75

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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.