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Finding the Third Proportional to 90,289 and 192,243

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Solution

The third proportional to 90,289 and 192,243 is: 409,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,289 : 192,243 = 192,243 : x
  2. Step 2: Convert to fraction form
    90,289/192,243 = 192,243/x
  3. Step 3: Cross multiply
    90,289x = 192,243 × 192,243
  4. Step 4: Simplify right side
    90,289x = 36,957,371,049
  5. Step 5: Solve for x
    x = 36,957,371,049/90,289
  6. Step 6: Final answer
    x = 409,323.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.