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Finding the Third Proportional to 51,136.50 and 109,380.75

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Solution

The third proportional to 51,136.50 and 109,380.75 is: 233,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,136.50 : 109,380.75 = 109,380.75 : x
  2. Step 2: Convert to fraction form
    51,136.50/109,380.75 = 109,380.75/x
  3. Step 3: Cross multiply
    51,136.50x = 109,380.75 × 109,380.75
  4. Step 4: Simplify right side
    51,136.50x = 11,964,148,470.56
  5. Step 5: Solve for x
    x = 11,964,148,470.56/51,136.50
  6. Step 6: Final answer
    x = 233,964.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.