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Finding the Third Proportional to 54,286.31 and 119,615.63

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Solution

The third proportional to 54,286.31 and 119,615.63 is: 263,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,286.31 : 119,615.63 = 119,615.63 : x
  2. Step 2: Convert to fraction form
    54,286.31/119,615.63 = 119,615.63/x
  3. Step 3: Cross multiply
    54,286.31x = 119,615.63 × 119,615.63
  4. Step 4: Simplify right side
    54,286.31x = 14,307,897,744.14
  5. Step 5: Solve for x
    x = 14,307,897,744.14/54,286.31
  6. Step 6: Final answer
    x = 263,563.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.