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Finding the Third Proportional to 117,009 and 192,199

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Solution

The third proportional to 117,009 and 192,199 is: 315,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009 : 192,199 = 192,199 : x
  2. Step 2: Convert to fraction form
    117,009/192,199 = 192,199/x
  3. Step 3: Cross multiply
    117,009x = 192,199 × 192,199
  4. Step 4: Simplify right side
    117,009x = 36,940,455,601
  5. Step 5: Solve for x
    x = 36,940,455,601/117,009
  6. Step 6: Final answer
    x = 315,706.10

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.