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Finding the Third Proportional to 54,629.44 and 119,188.13

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Solution

The third proportional to 54,629.44 and 119,188.13 is: 260,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,629.44 : 119,188.13 = 119,188.13 : x
  2. Step 2: Convert to fraction form
    54,629.44/119,188.13 = 119,188.13/x
  3. Step 3: Cross multiply
    54,629.44x = 119,188.13 × 119,188.13
  4. Step 4: Simplify right side
    54,629.44x = 14,205,809,141.02
  5. Step 5: Solve for x
    x = 14,205,809,141.02/54,629.44
  6. Step 6: Final answer
    x = 260,039.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.