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Finding the Third Proportional to 69,150 and 151,692

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Solution

The third proportional to 69,150 and 151,692 is: 332,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,150 : 151,692 = 151,692 : x
  2. Step 2: Convert to fraction form
    69,150/151,692 = 151,692/x
  3. Step 3: Cross multiply
    69,150x = 151,692 × 151,692
  4. Step 4: Simplify right side
    69,150x = 23,010,462,864
  5. Step 5: Solve for x
    x = 23,010,462,864/69,150
  6. Step 6: Final answer
    x = 332,761.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.