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Finding the Third Proportional to 63,206.25 and 135,408.75

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Solution

The third proportional to 63,206.25 and 135,408.75 is: 290,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,206.25 : 135,408.75 = 135,408.75 : x
  2. Step 2: Convert to fraction form
    63,206.25/135,408.75 = 135,408.75/x
  3. Step 3: Cross multiply
    63,206.25x = 135,408.75 × 135,408.75
  4. Step 4: Simplify right side
    63,206.25x = 18,335,529,576.56
  5. Step 5: Solve for x
    x = 18,335,529,576.56/63,206.25
  6. Step 6: Final answer
    x = 290,090.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.