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Finding the Third Proportional to 136,017 and 191,199

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Solution

The third proportional to 136,017 and 191,199 is: 268,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,017 : 191,199 = 191,199 : x
  2. Step 2: Convert to fraction form
    136,017/191,199 = 191,199/x
  3. Step 3: Cross multiply
    136,017x = 191,199 × 191,199
  4. Step 4: Simplify right side
    136,017x = 36,557,057,601
  5. Step 5: Solve for x
    x = 36,557,057,601/136,017
  6. Step 6: Final answer
    x = 268,768.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.