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Finding the Third Proportional to 112,606 and 158,379

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Solution

The third proportional to 112,606 and 158,379 is: 222,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,606 : 158,379 = 158,379 : x
  2. Step 2: Convert to fraction form
    112,606/158,379 = 158,379/x
  3. Step 3: Cross multiply
    112,606x = 158,379 × 158,379
  4. Step 4: Simplify right side
    112,606x = 25,083,907,641
  5. Step 5: Solve for x
    x = 25,083,907,641/112,606
  6. Step 6: Final answer
    x = 222,758.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.