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Finding the Third Proportional to 104,955.75 and 269,137.69

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Solution

The third proportional to 104,955.75 and 269,137.69 is: 690,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,955.75 : 269,137.69 = 269,137.69 : x
  2. Step 2: Convert to fraction form
    104,955.75/269,137.69 = 269,137.69/x
  3. Step 3: Cross multiply
    104,955.75x = 269,137.69 × 269,137.69
  4. Step 4: Simplify right side
    104,955.75x = 72,435,094,832.85
  5. Step 5: Solve for x
    x = 72,435,094,832.85/104,955.75
  6. Step 6: Final answer
    x = 690,148.89

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.