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Finding the Third Proportional to 67,978.50 and 137,855.50

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Solution

The third proportional to 67,978.50 and 137,855.50 is: 279,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,978.50 : 137,855.50 = 137,855.50 : x
  2. Step 2: Convert to fraction form
    67,978.50/137,855.50 = 137,855.50/x
  3. Step 3: Cross multiply
    67,978.50x = 137,855.50 × 137,855.50
  4. Step 4: Simplify right side
    67,978.50x = 19,004,138,880.25
  5. Step 5: Solve for x
    x = 19,004,138,880.25/67,978.50
  6. Step 6: Final answer
    x = 279,561.02

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