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Finding the Third Proportional to 71,679.50 and 100,256

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Solution

The third proportional to 71,679.50 and 100,256 is: 140,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,679.50 : 100,256 = 100,256 : x
  2. Step 2: Convert to fraction form
    71,679.50/100,256 = 100,256/x
  3. Step 3: Cross multiply
    71,679.50x = 100,256 × 100,256
  4. Step 4: Simplify right side
    71,679.50x = 10,051,265,536
  5. Step 5: Solve for x
    x = 10,051,265,536/71,679.50
  6. Step 6: Final answer
    x = 140,225.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.