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Finding the Third Proportional to 133,584.75 and 213,013.13

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Solution

The third proportional to 133,584.75 and 213,013.13 is: 339,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,584.75 : 213,013.13 = 213,013.13 : x
  2. Step 2: Convert to fraction form
    133,584.75/213,013.13 = 213,013.13/x
  3. Step 3: Cross multiply
    133,584.75x = 213,013.13 × 213,013.13
  4. Step 4: Simplify right side
    133,584.75x = 45,374,591,422.27
  5. Step 5: Solve for x
    x = 45,374,591,422.27/133,584.75
  6. Step 6: Final answer
    x = 339,668.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.