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Finding the Third Proportional to 89,573 and 133,891

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Solution

The third proportional to 89,573 and 133,891 is: 200,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,573 : 133,891 = 133,891 : x
  2. Step 2: Convert to fraction form
    89,573/133,891 = 133,891/x
  3. Step 3: Cross multiply
    89,573x = 133,891 × 133,891
  4. Step 4: Simplify right side
    89,573x = 17,926,799,881
  5. Step 5: Solve for x
    x = 17,926,799,881/89,573
  6. Step 6: Final answer
    x = 200,136.20

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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.