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Finding the Third Proportional to 68,200 and 94,183

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Solution

The third proportional to 68,200 and 94,183 is: 130,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200 : 94,183 = 94,183 : x
  2. Step 2: Convert to fraction form
    68,200/94,183 = 94,183/x
  3. Step 3: Cross multiply
    68,200x = 94,183 × 94,183
  4. Step 4: Simplify right side
    68,200x = 8,870,437,489
  5. Step 5: Solve for x
    x = 8,870,437,489/68,200
  6. Step 6: Final answer
    x = 130,065.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.