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Finding the Third Proportional to 89,145 and 133,734

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Solution

The third proportional to 89,145 and 133,734 is: 200,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,145 : 133,734 = 133,734 : x
  2. Step 2: Convert to fraction form
    89,145/133,734 = 133,734/x
  3. Step 3: Cross multiply
    89,145x = 133,734 × 133,734
  4. Step 4: Simplify right side
    89,145x = 17,884,782,756
  5. Step 5: Solve for x
    x = 17,884,782,756/89,145
  6. Step 6: Final answer
    x = 200,625.75

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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.