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Finding the Third Proportional to 100,274 and 149,907

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Solution

The third proportional to 100,274 and 149,907 is: 224,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274 : 149,907 = 149,907 : x
  2. Step 2: Convert to fraction form
    100,274/149,907 = 149,907/x
  3. Step 3: Cross multiply
    100,274x = 149,907 × 149,907
  4. Step 4: Simplify right side
    100,274x = 22,472,108,649
  5. Step 5: Solve for x
    x = 22,472,108,649/100,274
  6. Step 6: Final answer
    x = 224,107.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.