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Finding the Third Proportional to 67,804 and 103,094

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Solution

The third proportional to 67,804 and 103,094 is: 156,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,804 : 103,094 = 103,094 : x
  2. Step 2: Convert to fraction form
    67,804/103,094 = 103,094/x
  3. Step 3: Cross multiply
    67,804x = 103,094 × 103,094
  4. Step 4: Simplify right side
    67,804x = 10,628,372,836
  5. Step 5: Solve for x
    x = 10,628,372,836/67,804
  6. Step 6: Final answer
    x = 156,751.41

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