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Finding the Third Proportional to 90,616 and 133,256

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Solution

The third proportional to 90,616 and 133,256 is: 195,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,616 : 133,256 = 133,256 : x
  2. Step 2: Convert to fraction form
    90,616/133,256 = 133,256/x
  3. Step 3: Cross multiply
    90,616x = 133,256 × 133,256
  4. Step 4: Simplify right side
    90,616x = 17,757,161,536
  5. Step 5: Solve for x
    x = 17,757,161,536/90,616
  6. Step 6: Final answer
    x = 195,960.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.