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Finding the Third Proportional to 91,682 and 189,073

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Solution

The third proportional to 91,682 and 189,073 is: 389,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,682 : 189,073 = 189,073 : x
  2. Step 2: Convert to fraction form
    91,682/189,073 = 189,073/x
  3. Step 3: Cross multiply
    91,682x = 189,073 × 189,073
  4. Step 4: Simplify right side
    91,682x = 35,748,599,329
  5. Step 5: Solve for x
    x = 35,748,599,329/91,682
  6. Step 6: Final answer
    x = 389,919.50

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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.