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Finding the Third Proportional to 67,772 and 100,677

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Solution

The third proportional to 67,772 and 100,677 is: 149,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,772 : 100,677 = 100,677 : x
  2. Step 2: Convert to fraction form
    67,772/100,677 = 100,677/x
  3. Step 3: Cross multiply
    67,772x = 100,677 × 100,677
  4. Step 4: Simplify right side
    67,772x = 10,135,858,329
  5. Step 5: Solve for x
    x = 10,135,858,329/67,772
  6. Step 6: Final answer
    x = 149,558.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.