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Finding the Third Proportional to 69,544 and 151,832

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Solution

The third proportional to 69,544 and 151,832 is: 331,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,544 : 151,832 = 151,832 : x
  2. Step 2: Convert to fraction form
    69,544/151,832 = 151,832/x
  3. Step 3: Cross multiply
    69,544x = 151,832 × 151,832
  4. Step 4: Simplify right side
    69,544x = 23,052,956,224
  5. Step 5: Solve for x
    x = 23,052,956,224/69,544
  6. Step 6: Final answer
    x = 331,487.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.