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Finding the Third Proportional to 91,378 and 137,067

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Solution

The third proportional to 91,378 and 137,067 is: 205,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,378 : 137,067 = 137,067 : x
  2. Step 2: Convert to fraction form
    91,378/137,067 = 137,067/x
  3. Step 3: Cross multiply
    91,378x = 137,067 × 137,067
  4. Step 4: Simplify right side
    91,378x = 18,787,362,489
  5. Step 5: Solve for x
    x = 18,787,362,489/91,378
  6. Step 6: Final answer
    x = 205,600.50

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Why These Related Problems?

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