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Finding the Third Proportional to 128,558.81 and 192,716.72

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Solution

The third proportional to 128,558.81 and 192,716.72 is: 288,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,558.81 : 192,716.72 = 192,716.72 : x
  2. Step 2: Convert to fraction form
    128,558.81/192,716.72 = 192,716.72/x
  3. Step 3: Cross multiply
    128,558.81x = 192,716.72 × 192,716.72
  4. Step 4: Simplify right side
    128,558.81x = 37,139,733,685.77
  5. Step 5: Solve for x
    x = 37,139,733,685.77/128,558.81
  6. Step 6: Final answer
    x = 288,892.94

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