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Finding the Third Proportional to 80,584 and 133,086

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Solution

The third proportional to 80,584 and 133,086 is: 219,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,584 : 133,086 = 133,086 : x
  2. Step 2: Convert to fraction form
    80,584/133,086 = 133,086/x
  3. Step 3: Cross multiply
    80,584x = 133,086 × 133,086
  4. Step 4: Simplify right side
    80,584x = 17,711,883,396
  5. Step 5: Solve for x
    x = 17,711,883,396/80,584
  6. Step 6: Final answer
    x = 219,794.05

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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.