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Finding the Third Proportional to 81,469.50 and 122,725.50

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Solution

The third proportional to 81,469.50 and 122,725.50 is: 184,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.50 : 122,725.50 = 122,725.50 : x
  2. Step 2: Convert to fraction form
    81,469.50/122,725.50 = 122,725.50/x
  3. Step 3: Cross multiply
    81,469.50x = 122,725.50 × 122,725.50
  4. Step 4: Simplify right side
    81,469.50x = 15,061,548,350.25
  5. Step 5: Solve for x
    x = 15,061,548,350.25/81,469.50
  6. Step 6: Final answer
    x = 184,873.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.