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Finding the Third Proportional to 69,027.19 and 80,679.80

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Solution

The third proportional to 69,027.19 and 80,679.80 is: 94,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,027.19 : 80,679.80 = 80,679.80 : x
  2. Step 2: Convert to fraction form
    69,027.19/80,679.80 = 80,679.80/x
  3. Step 3: Cross multiply
    69,027.19x = 80,679.80 × 80,679.80
  4. Step 4: Simplify right side
    69,027.19x = 6,509,229,623.79
  5. Step 5: Solve for x
    x = 6,509,229,623.79/69,027.19
  6. Step 6: Final answer
    x = 94,299.51

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.