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Finding the Third Proportional to 73,583.44 and 113,313.94

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Solution

The third proportional to 73,583.44 and 113,313.94 is: 174,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,583.44 : 113,313.94 = 113,313.94 : x
  2. Step 2: Convert to fraction form
    73,583.44/113,313.94 = 113,313.94/x
  3. Step 3: Cross multiply
    73,583.44x = 113,313.94 × 113,313.94
  4. Step 4: Simplify right side
    73,583.44x = 12,840,048,431.75
  5. Step 5: Solve for x
    x = 12,840,048,431.75/73,583.44
  6. Step 6: Final answer
    x = 174,496.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.