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Finding the Third Proportional to 87,079.50 and 177,846.75

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Solution

The third proportional to 87,079.50 and 177,846.75 is: 363,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,079.50 : 177,846.75 = 177,846.75 : x
  2. Step 2: Convert to fraction form
    87,079.50/177,846.75 = 177,846.75/x
  3. Step 3: Cross multiply
    87,079.50x = 177,846.75 × 177,846.75
  4. Step 4: Simplify right side
    87,079.50x = 31,629,466,485.56
  5. Step 5: Solve for x
    x = 31,629,466,485.56/87,079.50
  6. Step 6: Final answer
    x = 363,225.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.