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Finding the Third Proportional to 63,286.31 and 135,047.25

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Solution

The third proportional to 63,286.31 and 135,047.25 is: 288,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,286.31 : 135,047.25 = 135,047.25 : x
  2. Step 2: Convert to fraction form
    63,286.31/135,047.25 = 135,047.25/x
  3. Step 3: Cross multiply
    63,286.31x = 135,047.25 × 135,047.25
  4. Step 4: Simplify right side
    63,286.31x = 18,237,759,732.56
  5. Step 5: Solve for x
    x = 18,237,759,732.56/63,286.31
  6. Step 6: Final answer
    x = 288,178.58

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Why These Related Problems?

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