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Finding the Third Proportional to 51,112.69 and 104,302.69

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Solution

The third proportional to 51,112.69 and 104,302.69 is: 212,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,112.69 : 104,302.69 = 104,302.69 : x
  2. Step 2: Convert to fraction form
    51,112.69/104,302.69 = 104,302.69/x
  3. Step 3: Cross multiply
    51,112.69x = 104,302.69 × 104,302.69
  4. Step 4: Simplify right side
    51,112.69x = 10,879,050,619.72
  5. Step 5: Solve for x
    x = 10,879,050,619.72/51,112.69
  6. Step 6: Final answer
    x = 212,844.43

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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.