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Finding the Third Proportional to 91,739.50 and 189,771.75

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Solution

The third proportional to 91,739.50 and 189,771.75 is: 392,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,739.50 : 189,771.75 = 189,771.75 : x
  2. Step 2: Convert to fraction form
    91,739.50/189,771.75 = 189,771.75/x
  3. Step 3: Cross multiply
    91,739.50x = 189,771.75 × 189,771.75
  4. Step 4: Simplify right side
    91,739.50x = 36,013,317,098.06
  5. Step 5: Solve for x
    x = 36,013,317,098.06/91,739.50
  6. Step 6: Final answer
    x = 392,560.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.