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Finding the Third Proportional to 63,157 and 135,067

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Solution

The third proportional to 63,157 and 135,067 is: 288,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,157 : 135,067 = 135,067 : x
  2. Step 2: Convert to fraction form
    63,157/135,067 = 135,067/x
  3. Step 3: Cross multiply
    63,157x = 135,067 × 135,067
  4. Step 4: Simplify right side
    63,157x = 18,243,094,489
  5. Step 5: Solve for x
    x = 18,243,094,489/63,157
  6. Step 6: Final answer
    x = 288,853.09

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Why These Related Problems?

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