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Finding the Third Proportional to 37,321 and 81,175

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Solution

The third proportional to 37,321 and 81,175 is: 176,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,321 : 81,175 = 81,175 : x
  2. Step 2: Convert to fraction form
    37,321/81,175 = 81,175/x
  3. Step 3: Cross multiply
    37,321x = 81,175 × 81,175
  4. Step 4: Simplify right side
    37,321x = 6,589,380,625
  5. Step 5: Solve for x
    x = 6,589,380,625/37,321
  6. Step 6: Final answer
    x = 176,559.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.