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Finding the Third Proportional to 80,796 and 124,027

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Solution

The third proportional to 80,796 and 124,027 is: 190,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,796 : 124,027 = 124,027 : x
  2. Step 2: Convert to fraction form
    80,796/124,027 = 124,027/x
  3. Step 3: Cross multiply
    80,796x = 124,027 × 124,027
  4. Step 4: Simplify right side
    80,796x = 15,382,696,729
  5. Step 5: Solve for x
    x = 15,382,696,729/80,796
  6. Step 6: Final answer
    x = 190,389.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.