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Finding the Third Proportional to 54,668.25 and 89,268.19

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Solution

The third proportional to 54,668.25 and 89,268.19 is: 145,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,668.25 : 89,268.19 = 89,268.19 : x
  2. Step 2: Convert to fraction form
    54,668.25/89,268.19 = 89,268.19/x
  3. Step 3: Cross multiply
    54,668.25x = 89,268.19 × 89,268.19
  4. Step 4: Simplify right side
    54,668.25x = 7,968,809,299.54
  5. Step 5: Solve for x
    x = 7,968,809,299.54/54,668.25
  6. Step 6: Final answer
    x = 145,766.68

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.