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Finding the Third Proportional to 133,960 and 187,296

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Solution

The third proportional to 133,960 and 187,296 is: 261,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960 : 187,296 = 187,296 : x
  2. Step 2: Convert to fraction form
    133,960/187,296 = 187,296/x
  3. Step 3: Cross multiply
    133,960x = 187,296 × 187,296
  4. Step 4: Simplify right side
    133,960x = 35,079,791,616
  5. Step 5: Solve for x
    x = 35,079,791,616/133,960
  6. Step 6: Final answer
    x = 261,867.66

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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.