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Finding the Third Proportional to 98,708 and 140,678

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Solution

The third proportional to 98,708 and 140,678 is: 200,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,708 : 140,678 = 140,678 : x
  2. Step 2: Convert to fraction form
    98,708/140,678 = 140,678/x
  3. Step 3: Cross multiply
    98,708x = 140,678 × 140,678
  4. Step 4: Simplify right side
    98,708x = 19,790,299,684
  5. Step 5: Solve for x
    x = 19,790,299,684/98,708
  6. Step 6: Final answer
    x = 200,493.37

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Why These Related Problems?

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