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Finding the Third Proportional to 89,135 and 133,721

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Solution

The third proportional to 89,135 and 133,721 is: 200,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,135 : 133,721 = 133,721 : x
  2. Step 2: Convert to fraction form
    89,135/133,721 = 133,721/x
  3. Step 3: Cross multiply
    89,135x = 133,721 × 133,721
  4. Step 4: Simplify right side
    89,135x = 17,881,305,841
  5. Step 5: Solve for x
    x = 17,881,305,841/89,135
  6. Step 6: Final answer
    x = 200,609.25

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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.