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Finding the Third Proportional to 93,956 and 194,122

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Solution

The third proportional to 93,956 and 194,122 is: 401,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,956 : 194,122 = 194,122 : x
  2. Step 2: Convert to fraction form
    93,956/194,122 = 194,122/x
  3. Step 3: Cross multiply
    93,956x = 194,122 × 194,122
  4. Step 4: Simplify right side
    93,956x = 37,683,350,884
  5. Step 5: Solve for x
    x = 37,683,350,884/93,956
  6. Step 6: Final answer
    x = 401,074.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.