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Finding the Third Proportional to 63,456.75 and 135,357.75

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Solution

The third proportional to 63,456.75 and 135,357.75 is: 288,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,456.75 : 135,357.75 = 135,357.75 : x
  2. Step 2: Convert to fraction form
    63,456.75/135,357.75 = 135,357.75/x
  3. Step 3: Cross multiply
    63,456.75x = 135,357.75 × 135,357.75
  4. Step 4: Simplify right side
    63,456.75x = 18,321,720,485.06
  5. Step 5: Solve for x
    x = 18,321,720,485.06/63,456.75
  6. Step 6: Final answer
    x = 288,727.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.