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Finding the Third Proportional to 91,704 and 189,114

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Solution

The third proportional to 91,704 and 189,114 is: 389,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,704 : 189,114 = 189,114 : x
  2. Step 2: Convert to fraction form
    91,704/189,114 = 189,114/x
  3. Step 3: Cross multiply
    91,704x = 189,114 × 189,114
  4. Step 4: Simplify right side
    91,704x = 35,764,104,996
  5. Step 5: Solve for x
    x = 35,764,104,996/91,704
  6. Step 6: Final answer
    x = 389,995.04

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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.