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Finding the Third Proportional to 136,001 and 191,181

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Solution

The third proportional to 136,001 and 191,181 is: 268,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,001 : 191,181 = 191,181 : x
  2. Step 2: Convert to fraction form
    136,001/191,181 = 191,181/x
  3. Step 3: Cross multiply
    136,001x = 191,181 × 191,181
  4. Step 4: Simplify right side
    136,001x = 36,550,174,761
  5. Step 5: Solve for x
    x = 36,550,174,761/136,001
  6. Step 6: Final answer
    x = 268,749.31

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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.