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Finding the Third Proportional to 112,936 and 166,286

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Solution

The third proportional to 112,936 and 166,286 is: 244,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,936 : 166,286 = 166,286 : x
  2. Step 2: Convert to fraction form
    112,936/166,286 = 166,286/x
  3. Step 3: Cross multiply
    112,936x = 166,286 × 166,286
  4. Step 4: Simplify right side
    112,936x = 27,651,033,796
  5. Step 5: Solve for x
    x = 27,651,033,796/112,936
  6. Step 6: Final answer
    x = 244,838.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.