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Finding the Third Proportional to 68.06 and 147.94

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Solution

The third proportional to 68.06 and 147.94 is: 321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 147.94 = 147.94 : x
  2. Step 2: Convert to fraction form
    68.06/147.94 = 147.94/x
  3. Step 3: Cross multiply
    68.06x = 147.94 × 147.94
  4. Step 4: Simplify right side
    68.06x = 21,885.50
  5. Step 5: Solve for x
    x = 21,885.50/68.06
  6. Step 6: Final answer
    x = 321.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.