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Finding the Third Proportional to 45,996 and 93,936

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Solution

The third proportional to 45,996 and 93,936 is: 191,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,996 : 93,936 = 93,936 : x
  2. Step 2: Convert to fraction form
    45,996/93,936 = 93,936/x
  3. Step 3: Cross multiply
    45,996x = 93,936 × 93,936
  4. Step 4: Simplify right side
    45,996x = 8,823,972,096
  5. Step 5: Solve for x
    x = 8,823,972,096/45,996
  6. Step 6: Final answer
    x = 191,842.16

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Why These Related Problems?

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