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Finding the Third Proportional to 51,206.55 and 111,793.29

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Solution

The third proportional to 51,206.55 and 111,793.29 is: 244,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206.55 : 111,793.29 = 111,793.29 : x
  2. Step 2: Convert to fraction form
    51,206.55/111,793.29 = 111,793.29/x
  3. Step 3: Cross multiply
    51,206.55x = 111,793.29 × 111,793.29
  4. Step 4: Simplify right side
    51,206.55x = 12,497,739,479.41
  5. Step 5: Solve for x
    x = 12,497,739,479.41/51,206.55
  6. Step 6: Final answer
    x = 244,065.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.