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Finding the Third Proportional to 80,209.50 and 91,873.50

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Solution

The third proportional to 80,209.50 and 91,873.50 is: 105,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,209.50 : 91,873.50 = 91,873.50 : x
  2. Step 2: Convert to fraction form
    80,209.50/91,873.50 = 91,873.50/x
  3. Step 3: Cross multiply
    80,209.50x = 91,873.50 × 91,873.50
  4. Step 4: Simplify right side
    80,209.50x = 8,440,740,002.25
  5. Step 5: Solve for x
    x = 8,440,740,002.25/80,209.50
  6. Step 6: Final answer
    x = 105,233.67

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.