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Finding the Third Proportional to 112,137 and 186,885

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Solution

The third proportional to 112,137 and 186,885 is: 311,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,137 : 186,885 = 186,885 : x
  2. Step 2: Convert to fraction form
    112,137/186,885 = 186,885/x
  3. Step 3: Cross multiply
    112,137x = 186,885 × 186,885
  4. Step 4: Simplify right side
    112,137x = 34,926,003,225
  5. Step 5: Solve for x
    x = 34,926,003,225/112,137
  6. Step 6: Final answer
    x = 311,458.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.