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Finding the Third Proportional to 86,729 and 189,176

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Solution

The third proportional to 86,729 and 189,176 is: 412,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,729 : 189,176 = 189,176 : x
  2. Step 2: Convert to fraction form
    86,729/189,176 = 189,176/x
  3. Step 3: Cross multiply
    86,729x = 189,176 × 189,176
  4. Step 4: Simplify right side
    86,729x = 35,787,558,976
  5. Step 5: Solve for x
    x = 35,787,558,976/86,729
  6. Step 6: Final answer
    x = 412,636.59

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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.