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Finding the Third Proportional to 37,104.12 and 87,501.83

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Solution

The third proportional to 37,104.12 and 87,501.83 is: 206,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,104.12 : 87,501.83 = 87,501.83 : x
  2. Step 2: Convert to fraction form
    37,104.12/87,501.83 = 87,501.83/x
  3. Step 3: Cross multiply
    37,104.12x = 87,501.83 × 87,501.83
  4. Step 4: Simplify right side
    37,104.12x = 7,656,570,608.83
  5. Step 5: Solve for x
    x = 7,656,570,608.83/37,104.12
  6. Step 6: Final answer
    x = 206,353.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.