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Finding the Third Proportional to 69,672 and 150,424

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Solution

The third proportional to 69,672 and 150,424 is: 324,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,672 : 150,424 = 150,424 : x
  2. Step 2: Convert to fraction form
    69,672/150,424 = 150,424/x
  3. Step 3: Cross multiply
    69,672x = 150,424 × 150,424
  4. Step 4: Simplify right side
    69,672x = 22,627,379,776
  5. Step 5: Solve for x
    x = 22,627,379,776/69,672
  6. Step 6: Final answer
    x = 324,770.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.