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Finding the Third Proportional to 63,669 and 134,926

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Solution

The third proportional to 63,669 and 134,926 is: 285,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,669 : 134,926 = 134,926 : x
  2. Step 2: Convert to fraction form
    63,669/134,926 = 134,926/x
  3. Step 3: Cross multiply
    63,669x = 134,926 × 134,926
  4. Step 4: Simplify right side
    63,669x = 18,205,025,476
  5. Step 5: Solve for x
    x = 18,205,025,476/63,669
  6. Step 6: Final answer
    x = 285,932.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.