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Finding the Third Proportional to 89,788 and 133,903

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Solution

The third proportional to 89,788 and 133,903 is: 199,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,788 : 133,903 = 133,903 : x
  2. Step 2: Convert to fraction form
    89,788/133,903 = 133,903/x
  3. Step 3: Cross multiply
    89,788x = 133,903 × 133,903
  4. Step 4: Simplify right side
    89,788x = 17,930,013,409
  5. Step 5: Solve for x
    x = 17,930,013,409/89,788
  6. Step 6: Final answer
    x = 199,692.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.