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Finding the Third Proportional to 98,722 and 140,698

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Solution

The third proportional to 98,722 and 140,698 is: 200,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,722 : 140,698 = 140,698 : x
  2. Step 2: Convert to fraction form
    98,722/140,698 = 140,698/x
  3. Step 3: Cross multiply
    98,722x = 140,698 × 140,698
  4. Step 4: Simplify right side
    98,722x = 19,795,927,204
  5. Step 5: Solve for x
    x = 19,795,927,204/98,722
  6. Step 6: Final answer
    x = 200,521.94

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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.