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Finding the Third Proportional to 136,626.75 and 191,056.75

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Solution

The third proportional to 136,626.75 and 191,056.75 is: 267,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,626.75 : 191,056.75 = 191,056.75 : x
  2. Step 2: Convert to fraction form
    136,626.75/191,056.75 = 191,056.75/x
  3. Step 3: Cross multiply
    136,626.75x = 191,056.75 × 191,056.75
  4. Step 4: Simplify right side
    136,626.75x = 36,502,681,720.56
  5. Step 5: Solve for x
    x = 36,502,681,720.56/136,626.75
  6. Step 6: Final answer
    x = 267,170.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.