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Finding the Third Proportional to 89,134.50 and 133,721

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Solution

The third proportional to 89,134.50 and 133,721 is: 200,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,134.50 : 133,721 = 133,721 : x
  2. Step 2: Convert to fraction form
    89,134.50/133,721 = 133,721/x
  3. Step 3: Cross multiply
    89,134.50x = 133,721 × 133,721
  4. Step 4: Simplify right side
    89,134.50x = 17,881,305,841
  5. Step 5: Solve for x
    x = 17,881,305,841/89,134.50
  6. Step 6: Final answer
    x = 200,610.38

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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.