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Finding the Third Proportional to 71,676.75 and 100,275

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Solution

The third proportional to 71,676.75 and 100,275 is: 140,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.75 : 100,275 = 100,275 : x
  2. Step 2: Convert to fraction form
    71,676.75/100,275 = 100,275/x
  3. Step 3: Cross multiply
    71,676.75x = 100,275 × 100,275
  4. Step 4: Simplify right side
    71,676.75x = 10,055,075,625
  5. Step 5: Solve for x
    x = 10,055,075,625/71,676.75
  6. Step 6: Final answer
    x = 140,283.64

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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.