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Finding the Third Proportional to 98,638 and 139,570

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Solution

The third proportional to 98,638 and 139,570 is: 197,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,638 : 139,570 = 139,570 : x
  2. Step 2: Convert to fraction form
    98,638/139,570 = 139,570/x
  3. Step 3: Cross multiply
    98,638x = 139,570 × 139,570
  4. Step 4: Simplify right side
    98,638x = 19,479,784,900
  5. Step 5: Solve for x
    x = 19,479,784,900/98,638
  6. Step 6: Final answer
    x = 197,487.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.