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Finding the Third Proportional to 63,667 and 134,303

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Solution

The third proportional to 63,667 and 134,303 is: 283,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,667 : 134,303 = 134,303 : x
  2. Step 2: Convert to fraction form
    63,667/134,303 = 134,303/x
  3. Step 3: Cross multiply
    63,667x = 134,303 × 134,303
  4. Step 4: Simplify right side
    63,667x = 18,037,295,809
  5. Step 5: Solve for x
    x = 18,037,295,809/63,667
  6. Step 6: Final answer
    x = 283,306.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.