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Finding the Third Proportional to 112,105 and 163,846

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Solution

The third proportional to 112,105 and 163,846 is: 239,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,105 : 163,846 = 163,846 : x
  2. Step 2: Convert to fraction form
    112,105/163,846 = 163,846/x
  3. Step 3: Cross multiply
    112,105x = 163,846 × 163,846
  4. Step 4: Simplify right side
    112,105x = 26,845,511,716
  5. Step 5: Solve for x
    x = 26,845,511,716/112,105
  6. Step 6: Final answer
    x = 239,467.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.