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Finding the Third Proportional to 65,213.50 and 87,350.75

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Solution

The third proportional to 65,213.50 and 87,350.75 is: 117,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.50 : 87,350.75 = 87,350.75 : x
  2. Step 2: Convert to fraction form
    65,213.50/87,350.75 = 87,350.75/x
  3. Step 3: Cross multiply
    65,213.50x = 87,350.75 × 87,350.75
  4. Step 4: Simplify right side
    65,213.50x = 7,630,153,525.56
  5. Step 5: Solve for x
    x = 7,630,153,525.56/65,213.50
  6. Step 6: Final answer
    x = 117,002.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.