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Finding the Third Proportional to 101,941 and 149,907

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Solution

The third proportional to 101,941 and 149,907 is: 220,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,941 : 149,907 = 149,907 : x
  2. Step 2: Convert to fraction form
    101,941/149,907 = 149,907/x
  3. Step 3: Cross multiply
    101,941x = 149,907 × 149,907
  4. Step 4: Simplify right side
    101,941x = 22,472,108,649
  5. Step 5: Solve for x
    x = 22,472,108,649/101,941
  6. Step 6: Final answer
    x = 220,442.30

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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.