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Finding the Third Proportional to 89,213 and 192,351

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Solution

The third proportional to 89,213 and 192,351 is: 414,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,213 : 192,351 = 192,351 : x
  2. Step 2: Convert to fraction form
    89,213/192,351 = 192,351/x
  3. Step 3: Cross multiply
    89,213x = 192,351 × 192,351
  4. Step 4: Simplify right side
    89,213x = 36,998,907,201
  5. Step 5: Solve for x
    x = 36,998,907,201/89,213
  6. Step 6: Final answer
    x = 414,725.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.