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Finding the Third Proportional to 90,740 and 192,496

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Solution

The third proportional to 90,740 and 192,496 is: 408,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,740 : 192,496 = 192,496 : x
  2. Step 2: Convert to fraction form
    90,740/192,496 = 192,496/x
  3. Step 3: Cross multiply
    90,740x = 192,496 × 192,496
  4. Step 4: Simplify right side
    90,740x = 37,054,710,016
  5. Step 5: Solve for x
    x = 37,054,710,016/90,740
  6. Step 6: Final answer
    x = 408,361.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.