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Finding the Third Proportional to 89,713.25 and 192,301

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Solution

The third proportional to 89,713.25 and 192,301 is: 412,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,713.25 : 192,301 = 192,301 : x
  2. Step 2: Convert to fraction form
    89,713.25/192,301 = 192,301/x
  3. Step 3: Cross multiply
    89,713.25x = 192,301 × 192,301
  4. Step 4: Simplify right side
    89,713.25x = 36,979,674,601
  5. Step 5: Solve for x
    x = 36,979,674,601/89,713.25
  6. Step 6: Final answer
    x = 412,198.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.