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Finding the Third Proportional to 136,019 and 191,202

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Solution

The third proportional to 136,019 and 191,202 is: 268,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,019 : 191,202 = 191,202 : x
  2. Step 2: Convert to fraction form
    136,019/191,202 = 191,202/x
  3. Step 3: Cross multiply
    136,019x = 191,202 × 191,202
  4. Step 4: Simplify right side
    136,019x = 36,558,204,804
  5. Step 5: Solve for x
    x = 36,558,204,804/136,019
  6. Step 6: Final answer
    x = 268,772.78

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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.