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Finding the Third Proportional to 54,720.56 and 119,024.44

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Solution

The third proportional to 54,720.56 and 119,024.44 is: 258,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720.56 : 119,024.44 = 119,024.44 : x
  2. Step 2: Convert to fraction form
    54,720.56/119,024.44 = 119,024.44/x
  3. Step 3: Cross multiply
    54,720.56x = 119,024.44 × 119,024.44
  4. Step 4: Simplify right side
    54,720.56x = 14,166,816,722.19
  5. Step 5: Solve for x
    x = 14,166,816,722.19/54,720.56
  6. Step 6: Final answer
    x = 258,893.84

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