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Finding the Third Proportional to 67,695.75 and 135,654.75

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Solution

The third proportional to 67,695.75 and 135,654.75 is: 271,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,695.75 : 135,654.75 = 135,654.75 : x
  2. Step 2: Convert to fraction form
    67,695.75/135,654.75 = 135,654.75/x
  3. Step 3: Cross multiply
    67,695.75x = 135,654.75 × 135,654.75
  4. Step 4: Simplify right side
    67,695.75x = 18,402,211,197.56
  5. Step 5: Solve for x
    x = 18,402,211,197.56/67,695.75
  6. Step 6: Final answer
    x = 271,837.02

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.