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Finding the Third Proportional to 112,819 and 235,093

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Solution

The third proportional to 112,819 and 235,093 is: 489,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,819 : 235,093 = 235,093 : x
  2. Step 2: Convert to fraction form
    112,819/235,093 = 235,093/x
  3. Step 3: Cross multiply
    112,819x = 235,093 × 235,093
  4. Step 4: Simplify right side
    112,819x = 55,268,718,649
  5. Step 5: Solve for x
    x = 55,268,718,649/112,819
  6. Step 6: Final answer
    x = 489,888.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.