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Finding the Third Proportional to 51,336.75 and 111,399

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Solution

The third proportional to 51,336.75 and 111,399 is: 241,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,336.75 : 111,399 = 111,399 : x
  2. Step 2: Convert to fraction form
    51,336.75/111,399 = 111,399/x
  3. Step 3: Cross multiply
    51,336.75x = 111,399 × 111,399
  4. Step 4: Simplify right side
    51,336.75x = 12,409,737,201
  5. Step 5: Solve for x
    x = 12,409,737,201/51,336.75
  6. Step 6: Final answer
    x = 241,732.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.