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Finding the Third Proportional to 112,884 and 165,177

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Solution

The third proportional to 112,884 and 165,177 is: 241,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,884 : 165,177 = 165,177 : x
  2. Step 2: Convert to fraction form
    112,884/165,177 = 165,177/x
  3. Step 3: Cross multiply
    112,884x = 165,177 × 165,177
  4. Step 4: Simplify right side
    112,884x = 27,283,441,329
  5. Step 5: Solve for x
    x = 27,283,441,329/112,884
  6. Step 6: Final answer
    x = 241,694.49

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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.