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Finding the Third Proportional to 68,314.50 and 140,004

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Solution

The third proportional to 68,314.50 and 140,004 is: 286,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314.50 : 140,004 = 140,004 : x
  2. Step 2: Convert to fraction form
    68,314.50/140,004 = 140,004/x
  3. Step 3: Cross multiply
    68,314.50x = 140,004 × 140,004
  4. Step 4: Simplify right side
    68,314.50x = 19,601,120,016
  5. Step 5: Solve for x
    x = 19,601,120,016/68,314.50
  6. Step 6: Final answer
    x = 286,924.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.