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Finding the Third Proportional to 91,726 and 189,162

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Solution

The third proportional to 91,726 and 189,162 is: 390,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,726 : 189,162 = 189,162 : x
  2. Step 2: Convert to fraction form
    91,726/189,162 = 189,162/x
  3. Step 3: Cross multiply
    91,726x = 189,162 × 189,162
  4. Step 4: Simplify right side
    91,726x = 35,782,262,244
  5. Step 5: Solve for x
    x = 35,782,262,244/91,726
  6. Step 6: Final answer
    x = 390,099.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.