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Finding the Third Proportional to 104,351 and 139,795

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Solution

The third proportional to 104,351 and 139,795 is: 187,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,351 : 139,795 = 139,795 : x
  2. Step 2: Convert to fraction form
    104,351/139,795 = 139,795/x
  3. Step 3: Cross multiply
    104,351x = 139,795 × 139,795
  4. Step 4: Simplify right side
    104,351x = 19,542,642,025
  5. Step 5: Solve for x
    x = 19,542,642,025/104,351
  6. Step 6: Final answer
    x = 187,277.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.