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Finding the Third Proportional to 89,697 and 192,276

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Solution

The third proportional to 89,697 and 192,276 is: 412,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,697 : 192,276 = 192,276 : x
  2. Step 2: Convert to fraction form
    89,697/192,276 = 192,276/x
  3. Step 3: Cross multiply
    89,697x = 192,276 × 192,276
  4. Step 4: Simplify right side
    89,697x = 36,970,060,176
  5. Step 5: Solve for x
    x = 36,970,060,176/89,697
  6. Step 6: Final answer
    x = 412,166.07

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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.