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Finding the Third Proportional to 86,162 and 189,348

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Solution

The third proportional to 86,162 and 189,348 is: 416,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,162 : 189,348 = 189,348 : x
  2. Step 2: Convert to fraction form
    86,162/189,348 = 189,348/x
  3. Step 3: Cross multiply
    86,162x = 189,348 × 189,348
  4. Step 4: Simplify right side
    86,162x = 35,852,665,104
  5. Step 5: Solve for x
    x = 35,852,665,104/86,162
  6. Step 6: Final answer
    x = 416,107.62

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Why These Related Problems?

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