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Finding the Third Proportional to 37,067 and 81,550

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Solution

The third proportional to 37,067 and 81,550 is: 179,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,067 : 81,550 = 81,550 : x
  2. Step 2: Convert to fraction form
    37,067/81,550 = 81,550/x
  3. Step 3: Cross multiply
    37,067x = 81,550 × 81,550
  4. Step 4: Simplify right side
    37,067x = 6,650,402,500
  5. Step 5: Solve for x
    x = 6,650,402,500/37,067
  6. Step 6: Final answer
    x = 179,415.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.