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Finding the Third Proportional to 98,660 and 139,606

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Solution

The third proportional to 98,660 and 139,606 is: 197,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,660 : 139,606 = 139,606 : x
  2. Step 2: Convert to fraction form
    98,660/139,606 = 139,606/x
  3. Step 3: Cross multiply
    98,660x = 139,606 × 139,606
  4. Step 4: Simplify right side
    98,660x = 19,489,835,236
  5. Step 5: Solve for x
    x = 19,489,835,236/98,660
  6. Step 6: Final answer
    x = 197,545.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.