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Finding the Third Proportional to 124,800 and 188,793

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Solution

The third proportional to 124,800 and 188,793 is: 285,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,800 : 188,793 = 188,793 : x
  2. Step 2: Convert to fraction form
    124,800/188,793 = 188,793/x
  3. Step 3: Cross multiply
    124,800x = 188,793 × 188,793
  4. Step 4: Simplify right side
    124,800x = 35,642,796,849
  5. Step 5: Solve for x
    x = 35,642,796,849/124,800
  6. Step 6: Final answer
    x = 285,599.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.