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Finding the Third Proportional to 98,738 and 140,722

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Solution

The third proportional to 98,738 and 140,722 is: 200,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,738 : 140,722 = 140,722 : x
  2. Step 2: Convert to fraction form
    98,738/140,722 = 140,722/x
  3. Step 3: Cross multiply
    98,738x = 140,722 × 140,722
  4. Step 4: Simplify right side
    98,738x = 19,802,681,284
  5. Step 5: Solve for x
    x = 19,802,681,284/98,738
  6. Step 6: Final answer
    x = 200,557.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.