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Finding the Third Proportional to 54,950.63 and 119,743.31

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Solution

The third proportional to 54,950.63 and 119,743.31 is: 260,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.63 : 119,743.31 = 119,743.31 : x
  2. Step 2: Convert to fraction form
    54,950.63/119,743.31 = 119,743.31/x
  3. Step 3: Cross multiply
    54,950.63x = 119,743.31 × 119,743.31
  4. Step 4: Simplify right side
    54,950.63x = 14,338,460,888.47
  5. Step 5: Solve for x
    x = 14,338,460,888.47/54,950.63
  6. Step 6: Final answer
    x = 260,933.54

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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.