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Finding the Third Proportional to 104,836 and 139,673

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Solution

The third proportional to 104,836 and 139,673 is: 186,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,836 : 139,673 = 139,673 : x
  2. Step 2: Convert to fraction form
    104,836/139,673 = 139,673/x
  3. Step 3: Cross multiply
    104,836x = 139,673 × 139,673
  4. Step 4: Simplify right side
    104,836x = 19,508,546,929
  5. Step 5: Solve for x
    x = 19,508,546,929/104,836
  6. Step 6: Final answer
    x = 186,086.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.