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Finding the Third Proportional to 104,104 and 155,869

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Solution

The third proportional to 104,104 and 155,869 is: 233,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,104 : 155,869 = 155,869 : x
  2. Step 2: Convert to fraction form
    104,104/155,869 = 155,869/x
  3. Step 3: Cross multiply
    104,104x = 155,869 × 155,869
  4. Step 4: Simplify right side
    104,104x = 24,295,145,161
  5. Step 5: Solve for x
    x = 24,295,145,161/104,104
  6. Step 6: Final answer
    x = 233,373.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.