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Finding the Third Proportional to 69,512 and 149,832

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Solution

The third proportional to 69,512 and 149,832 is: 322,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,512 : 149,832 = 149,832 : x
  2. Step 2: Convert to fraction form
    69,512/149,832 = 149,832/x
  3. Step 3: Cross multiply
    69,512x = 149,832 × 149,832
  4. Step 4: Simplify right side
    69,512x = 22,449,628,224
  5. Step 5: Solve for x
    x = 22,449,628,224/69,512
  6. Step 6: Final answer
    x = 322,960.47

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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.