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Finding the Third Proportional to 68,156 and 139,094

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Solution

The third proportional to 68,156 and 139,094 is: 283,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,156 : 139,094 = 139,094 : x
  2. Step 2: Convert to fraction form
    68,156/139,094 = 139,094/x
  3. Step 3: Cross multiply
    68,156x = 139,094 × 139,094
  4. Step 4: Simplify right side
    68,156x = 19,347,140,836
  5. Step 5: Solve for x
    x = 19,347,140,836/68,156
  6. Step 6: Final answer
    x = 283,865.56

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.