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Finding the Third Proportional to 135,959 and 191,120.25

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Solution

The third proportional to 135,959 and 191,120.25 is: 268,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,959 : 191,120.25 = 191,120.25 : x
  2. Step 2: Convert to fraction form
    135,959/191,120.25 = 191,120.25/x
  3. Step 3: Cross multiply
    135,959x = 191,120.25 × 191,120.25
  4. Step 4: Simplify right side
    135,959x = 36,526,949,960.06
  5. Step 5: Solve for x
    x = 36,526,949,960.06/135,959
  6. Step 6: Final answer
    x = 268,661.51

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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.