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Finding the Third Proportional to 85,811 and 189,073

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Solution

The third proportional to 85,811 and 189,073 is: 416,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,811 : 189,073 = 189,073 : x
  2. Step 2: Convert to fraction form
    85,811/189,073 = 189,073/x
  3. Step 3: Cross multiply
    85,811x = 189,073 × 189,073
  4. Step 4: Simplify right side
    85,811x = 35,748,599,329
  5. Step 5: Solve for x
    x = 35,748,599,329/85,811
  6. Step 6: Final answer
    x = 416,596.93

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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.