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Finding the Third Proportional to 89,872 and 133,943

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Solution

The third proportional to 89,872 and 133,943 is: 199,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,872 : 133,943 = 133,943 : x
  2. Step 2: Convert to fraction form
    89,872/133,943 = 133,943/x
  3. Step 3: Cross multiply
    89,872x = 133,943 × 133,943
  4. Step 4: Simplify right side
    89,872x = 17,940,727,249
  5. Step 5: Solve for x
    x = 17,940,727,249/89,872
  6. Step 6: Final answer
    x = 199,625.33

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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.