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Finding the Third Proportional to 98,706 and 140,676

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Solution

The third proportional to 98,706 and 140,676 is: 200,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,706 : 140,676 = 140,676 : x
  2. Step 2: Convert to fraction form
    98,706/140,676 = 140,676/x
  3. Step 3: Cross multiply
    98,706x = 140,676 × 140,676
  4. Step 4: Simplify right side
    98,706x = 19,789,736,976
  5. Step 5: Solve for x
    x = 19,789,736,976/98,706
  6. Step 6: Final answer
    x = 200,491.73

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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.