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Finding the Third Proportional to 67,090 and 137,093

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Solution

The third proportional to 67,090 and 137,093 is: 280,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,090 : 137,093 = 137,093 : x
  2. Step 2: Convert to fraction form
    67,090/137,093 = 137,093/x
  3. Step 3: Cross multiply
    67,090x = 137,093 × 137,093
  4. Step 4: Simplify right side
    67,090x = 18,794,490,649
  5. Step 5: Solve for x
    x = 18,794,490,649/67,090
  6. Step 6: Final answer
    x = 280,138.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.