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Finding the Third Proportional to 67,554 and 137,997

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Solution

The third proportional to 67,554 and 137,997 is: 281,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,554 : 137,997 = 137,997 : x
  2. Step 2: Convert to fraction form
    67,554/137,997 = 137,997/x
  3. Step 3: Cross multiply
    67,554x = 137,997 × 137,997
  4. Step 4: Simplify right side
    67,554x = 19,043,172,009
  5. Step 5: Solve for x
    x = 19,043,172,009/67,554
  6. Step 6: Final answer
    x = 281,895.55

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