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Finding the Third Proportional to 89,016 and 137,449

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Solution

The third proportional to 89,016 and 137,449 is: 212,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,016 : 137,449 = 137,449 : x
  2. Step 2: Convert to fraction form
    89,016/137,449 = 137,449/x
  3. Step 3: Cross multiply
    89,016x = 137,449 × 137,449
  4. Step 4: Simplify right side
    89,016x = 18,892,227,601
  5. Step 5: Solve for x
    x = 18,892,227,601/89,016
  6. Step 6: Final answer
    x = 212,234.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.