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Finding the Third Proportional to 50,974 and 111,788

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Solution

The third proportional to 50,974 and 111,788 is: 245,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974 : 111,788 = 111,788 : x
  2. Step 2: Convert to fraction form
    50,974/111,788 = 111,788/x
  3. Step 3: Cross multiply
    50,974x = 111,788 × 111,788
  4. Step 4: Simplify right side
    50,974x = 12,496,556,944
  5. Step 5: Solve for x
    x = 12,496,556,944/50,974
  6. Step 6: Final answer
    x = 245,155.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.