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Finding the Third Proportional to 63,546.75 and 135,537.75

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Solution

The third proportional to 63,546.75 and 135,537.75 is: 289,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546.75 : 135,537.75 = 135,537.75 : x
  2. Step 2: Convert to fraction form
    63,546.75/135,537.75 = 135,537.75/x
  3. Step 3: Cross multiply
    63,546.75x = 135,537.75 × 135,537.75
  4. Step 4: Simplify right side
    63,546.75x = 18,370,481,675.06
  5. Step 5: Solve for x
    x = 18,370,481,675.06/63,546.75
  6. Step 6: Final answer
    x = 289,086.09

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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.