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Finding the Third Proportional to 98,606 and 140,995

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Solution

The third proportional to 98,606 and 140,995 is: 201,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,606 : 140,995 = 140,995 : x
  2. Step 2: Convert to fraction form
    98,606/140,995 = 140,995/x
  3. Step 3: Cross multiply
    98,606x = 140,995 × 140,995
  4. Step 4: Simplify right side
    98,606x = 19,879,590,025
  5. Step 5: Solve for x
    x = 19,879,590,025/98,606
  6. Step 6: Final answer
    x = 201,606.29

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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.