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Finding the Third Proportional to 69,387 and 103,801

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Solution

The third proportional to 69,387 and 103,801 is: 155,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,387 : 103,801 = 103,801 : x
  2. Step 2: Convert to fraction form
    69,387/103,801 = 103,801/x
  3. Step 3: Cross multiply
    69,387x = 103,801 × 103,801
  4. Step 4: Simplify right side
    69,387x = 10,774,647,601
  5. Step 5: Solve for x
    x = 10,774,647,601/69,387
  6. Step 6: Final answer
    x = 155,283.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.