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Finding the Third Proportional to 43,096 and 94,212

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Solution

The third proportional to 43,096 and 94,212 is: 205,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,096 : 94,212 = 94,212 : x
  2. Step 2: Convert to fraction form
    43,096/94,212 = 94,212/x
  3. Step 3: Cross multiply
    43,096x = 94,212 × 94,212
  4. Step 4: Simplify right side
    43,096x = 8,875,900,944
  5. Step 5: Solve for x
    x = 8,875,900,944/43,096
  6. Step 6: Final answer
    x = 205,956.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.