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Finding the Third Proportional to 112,869 and 235,079

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Solution

The third proportional to 112,869 and 235,079 is: 489,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,869 : 235,079 = 235,079 : x
  2. Step 2: Convert to fraction form
    112,869/235,079 = 235,079/x
  3. Step 3: Cross multiply
    112,869x = 235,079 × 235,079
  4. Step 4: Simplify right side
    112,869x = 55,262,136,241
  5. Step 5: Solve for x
    x = 55,262,136,241/112,869
  6. Step 6: Final answer
    x = 489,613.06

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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.