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Finding the Third Proportional to 63,809 and 134,914

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Solution

The third proportional to 63,809 and 134,914 is: 285,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,809 : 134,914 = 134,914 : x
  2. Step 2: Convert to fraction form
    63,809/134,914 = 134,914/x
  3. Step 3: Cross multiply
    63,809x = 134,914 × 134,914
  4. Step 4: Simplify right side
    63,809x = 18,201,787,396
  5. Step 5: Solve for x
    x = 18,201,787,396/63,809
  6. Step 6: Final answer
    x = 285,254.23

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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.