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Finding the Third Proportional to 48,125.81 and 115,940.53

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Solution

The third proportional to 48,125.81 and 115,940.53 is: 279,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,125.81 : 115,940.53 = 115,940.53 : x
  2. Step 2: Convert to fraction form
    48,125.81/115,940.53 = 115,940.53/x
  3. Step 3: Cross multiply
    48,125.81x = 115,940.53 × 115,940.53
  4. Step 4: Simplify right side
    48,125.81x = 13,442,206,786.53
  5. Step 5: Solve for x
    x = 13,442,206,786.53/48,125.81
  6. Step 6: Final answer
    x = 279,313.87

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.