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Finding the Third Proportional to 122,517.56 and 183,768.75

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Solution

The third proportional to 122,517.56 and 183,768.75 is: 275,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,517.56 : 183,768.75 = 183,768.75 : x
  2. Step 2: Convert to fraction form
    122,517.56/183,768.75 = 183,768.75/x
  3. Step 3: Cross multiply
    122,517.56x = 183,768.75 × 183,768.75
  4. Step 4: Simplify right side
    122,517.56x = 33,770,953,476.56
  5. Step 5: Solve for x
    x = 33,770,953,476.56/122,517.56
  6. Step 6: Final answer
    x = 275,641.73

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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.