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Finding the Third Proportional to 135,730.69 and 191,396.67

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Solution

The third proportional to 135,730.69 and 191,396.67 is: 269,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,730.69 : 191,396.67 = 191,396.67 : x
  2. Step 2: Convert to fraction form
    135,730.69/191,396.67 = 191,396.67/x
  3. Step 3: Cross multiply
    135,730.69x = 191,396.67 × 191,396.67
  4. Step 4: Simplify right side
    135,730.69x = 36,632,686,004.83
  5. Step 5: Solve for x
    x = 36,632,686,004.83/135,730.69
  6. Step 6: Final answer
    x = 269,892.44

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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.