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Finding the Third Proportional to 80,536 and 133,104

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Solution

The third proportional to 80,536 and 133,104 is: 219,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,536 : 133,104 = 133,104 : x
  2. Step 2: Convert to fraction form
    80,536/133,104 = 133,104/x
  3. Step 3: Cross multiply
    80,536x = 133,104 × 133,104
  4. Step 4: Simplify right side
    80,536x = 17,716,674,816
  5. Step 5: Solve for x
    x = 17,716,674,816/80,536
  6. Step 6: Final answer
    x = 219,984.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.