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Finding the Third Proportional to 47,608 and 98,096

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Solution

The third proportional to 47,608 and 98,096 is: 202,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,608 : 98,096 = 98,096 : x
  2. Step 2: Convert to fraction form
    47,608/98,096 = 98,096/x
  3. Step 3: Cross multiply
    47,608x = 98,096 × 98,096
  4. Step 4: Simplify right side
    47,608x = 9,622,825,216
  5. Step 5: Solve for x
    x = 9,622,825,216/47,608
  6. Step 6: Final answer
    x = 202,126.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.