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Finding the Third Proportional to 70,518 and 110,067

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Solution

The third proportional to 70,518 and 110,067 is: 171,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,518 : 110,067 = 110,067 : x
  2. Step 2: Convert to fraction form
    70,518/110,067 = 110,067/x
  3. Step 3: Cross multiply
    70,518x = 110,067 × 110,067
  4. Step 4: Simplify right side
    70,518x = 12,114,744,489
  5. Step 5: Solve for x
    x = 12,114,744,489/70,518
  6. Step 6: Final answer
    x = 171,796.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.