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Finding the Third Proportional to 67,941 and 97,861.50

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Solution

The third proportional to 67,941 and 97,861.50 is: 140,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,941 : 97,861.50 = 97,861.50 : x
  2. Step 2: Convert to fraction form
    67,941/97,861.50 = 97,861.50/x
  3. Step 3: Cross multiply
    67,941x = 97,861.50 × 97,861.50
  4. Step 4: Simplify right side
    67,941x = 9,576,873,182.25
  5. Step 5: Solve for x
    x = 9,576,873,182.25/67,941
  6. Step 6: Final answer
    x = 140,958.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.