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Finding the Third Proportional to 81,861.89 and 122,287.22

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Solution

The third proportional to 81,861.89 and 122,287.22 is: 182,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.89 : 122,287.22 = 122,287.22 : x
  2. Step 2: Convert to fraction form
    81,861.89/122,287.22 = 122,287.22/x
  3. Step 3: Cross multiply
    81,861.89x = 122,287.22 × 122,287.22
  4. Step 4: Simplify right side
    81,861.89x = 14,954,163,869.61
  5. Step 5: Solve for x
    x = 14,954,163,869.61/81,861.89
  6. Step 6: Final answer
    x = 182,675.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.