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Finding the Third Proportional to 53,687.25 and 82,559.25

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Solution

The third proportional to 53,687.25 and 82,559.25 is: 126,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,687.25 : 82,559.25 = 82,559.25 : x
  2. Step 2: Convert to fraction form
    53,687.25/82,559.25 = 82,559.25/x
  3. Step 3: Cross multiply
    53,687.25x = 82,559.25 × 82,559.25
  4. Step 4: Simplify right side
    53,687.25x = 6,816,029,760.56
  5. Step 5: Solve for x
    x = 6,816,029,760.56/53,687.25
  6. Step 6: Final answer
    x = 126,958.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.