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Finding the Third Proportional to 67,808 and 103,100

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Solution

The third proportional to 67,808 and 103,100 is: 156,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,808 : 103,100 = 103,100 : x
  2. Step 2: Convert to fraction form
    67,808/103,100 = 103,100/x
  3. Step 3: Cross multiply
    67,808x = 103,100 × 103,100
  4. Step 4: Simplify right side
    67,808x = 10,629,610,000
  5. Step 5: Solve for x
    x = 10,629,610,000/67,808
  6. Step 6: Final answer
    x = 156,760.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.