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Finding the Third Proportional to 69,262 and 151,661

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Solution

The third proportional to 69,262 and 151,661 is: 332,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,262 : 151,661 = 151,661 : x
  2. Step 2: Convert to fraction form
    69,262/151,661 = 151,661/x
  3. Step 3: Cross multiply
    69,262x = 151,661 × 151,661
  4. Step 4: Simplify right side
    69,262x = 23,001,058,921
  5. Step 5: Solve for x
    x = 23,001,058,921/69,262
  6. Step 6: Final answer
    x = 332,087.71

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Why These Related Problems?

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