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Finding the Third Proportional to 67,426 and 136,766

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Solution

The third proportional to 67,426 and 136,766 is: 277,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,426 : 136,766 = 136,766 : x
  2. Step 2: Convert to fraction form
    67,426/136,766 = 136,766/x
  3. Step 3: Cross multiply
    67,426x = 136,766 × 136,766
  4. Step 4: Simplify right side
    67,426x = 18,704,938,756
  5. Step 5: Solve for x
    x = 18,704,938,756/67,426
  6. Step 6: Final answer
    x = 277,414.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.