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Finding the Third Proportional to 75,891.94 and 113,222.81

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Solution

The third proportional to 75,891.94 and 113,222.81 is: 168,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891.94 : 113,222.81 = 113,222.81 : x
  2. Step 2: Convert to fraction form
    75,891.94/113,222.81 = 113,222.81/x
  3. Step 3: Cross multiply
    75,891.94x = 113,222.81 × 113,222.81
  4. Step 4: Simplify right side
    75,891.94x = 12,819,405,270.41
  5. Step 5: Solve for x
    x = 12,819,405,270.41/75,891.94
  6. Step 6: Final answer
    x = 168,916.56

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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.