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Finding the Third Proportional to 71,676.75 and 100,251

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Solution

The third proportional to 71,676.75 and 100,251 is: 140,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.75 : 100,251 = 100,251 : x
  2. Step 2: Convert to fraction form
    71,676.75/100,251 = 100,251/x
  3. Step 3: Cross multiply
    71,676.75x = 100,251 × 100,251
  4. Step 4: Simplify right side
    71,676.75x = 10,050,263,001
  5. Step 5: Solve for x
    x = 10,050,263,001/71,676.75
  6. Step 6: Final answer
    x = 140,216.50

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Why These Related Problems?

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