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Finding the Third Proportional to 93,841 and 140,885

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Solution

The third proportional to 93,841 and 140,885 is: 211,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,841 : 140,885 = 140,885 : x
  2. Step 2: Convert to fraction form
    93,841/140,885 = 140,885/x
  3. Step 3: Cross multiply
    93,841x = 140,885 × 140,885
  4. Step 4: Simplify right side
    93,841x = 19,848,583,225
  5. Step 5: Solve for x
    x = 19,848,583,225/93,841
  6. Step 6: Final answer
    x = 211,512.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.