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Finding the Third Proportional to 45,991 and 101,013

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Solution

The third proportional to 45,991 and 101,013 is: 221,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,991 : 101,013 = 101,013 : x
  2. Step 2: Convert to fraction form
    45,991/101,013 = 101,013/x
  3. Step 3: Cross multiply
    45,991x = 101,013 × 101,013
  4. Step 4: Simplify right side
    45,991x = 10,203,626,169
  5. Step 5: Solve for x
    x = 10,203,626,169/45,991
  6. Step 6: Final answer
    x = 221,861.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.