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Finding the Third Proportional to 89,282 and 192,232

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Solution

The third proportional to 89,282 and 192,232 is: 413,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,282 : 192,232 = 192,232 : x
  2. Step 2: Convert to fraction form
    89,282/192,232 = 192,232/x
  3. Step 3: Cross multiply
    89,282x = 192,232 × 192,232
  4. Step 4: Simplify right side
    89,282x = 36,953,141,824
  5. Step 5: Solve for x
    x = 36,953,141,824/89,282
  6. Step 6: Final answer
    x = 413,892.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.