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Finding the Third Proportional to 45,203 and 91,682

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Solution

The third proportional to 45,203 and 91,682 is: 185,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,203 : 91,682 = 91,682 : x
  2. Step 2: Convert to fraction form
    45,203/91,682 = 91,682/x
  3. Step 3: Cross multiply
    45,203x = 91,682 × 91,682
  4. Step 4: Simplify right side
    45,203x = 8,405,589,124
  5. Step 5: Solve for x
    x = 8,405,589,124/45,203
  6. Step 6: Final answer
    x = 185,952.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.