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Finding the Third Proportional to 121,596.75 and 284,091.75

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Solution

The third proportional to 121,596.75 and 284,091.75 is: 663,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,596.75 : 284,091.75 = 284,091.75 : x
  2. Step 2: Convert to fraction form
    121,596.75/284,091.75 = 284,091.75/x
  3. Step 3: Cross multiply
    121,596.75x = 284,091.75 × 284,091.75
  4. Step 4: Simplify right side
    121,596.75x = 80,708,122,418.06
  5. Step 5: Solve for x
    x = 80,708,122,418.06/121,596.75
  6. Step 6: Final answer
    x = 663,735.85

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.