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Finding the Third Proportional to 101,961 and 149,932

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Solution

The third proportional to 101,961 and 149,932 is: 220,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,961 : 149,932 = 149,932 : x
  2. Step 2: Convert to fraction form
    101,961/149,932 = 149,932/x
  3. Step 3: Cross multiply
    101,961x = 149,932 × 149,932
  4. Step 4: Simplify right side
    101,961x = 22,479,604,624
  5. Step 5: Solve for x
    x = 22,479,604,624/101,961
  6. Step 6: Final answer
    x = 220,472.58

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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.