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Finding the Third Proportional to 80,289.75 and 115,467.75

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Solution

The third proportional to 80,289.75 and 115,467.75 is: 166,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,289.75 : 115,467.75 = 115,467.75 : x
  2. Step 2: Convert to fraction form
    80,289.75/115,467.75 = 115,467.75/x
  3. Step 3: Cross multiply
    80,289.75x = 115,467.75 × 115,467.75
  4. Step 4: Simplify right side
    80,289.75x = 13,332,801,290.06
  5. Step 5: Solve for x
    x = 13,332,801,290.06/80,289.75
  6. Step 6: Final answer
    x = 166,058.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.