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Finding the Third Proportional to 51,165 and 104,409.75

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Solution

The third proportional to 51,165 and 104,409.75 is: 213,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165 : 104,409.75 = 104,409.75 : x
  2. Step 2: Convert to fraction form
    51,165/104,409.75 = 104,409.75/x
  3. Step 3: Cross multiply
    51,165x = 104,409.75 × 104,409.75
  4. Step 4: Simplify right side
    51,165x = 10,901,395,895.06
  5. Step 5: Solve for x
    x = 10,901,395,895.06/51,165
  6. Step 6: Final answer
    x = 213,063.54

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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.