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Finding the Third Proportional to 112,326 and 175,401

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Solution

The third proportional to 112,326 and 175,401 is: 273,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,326 : 175,401 = 175,401 : x
  2. Step 2: Convert to fraction form
    112,326/175,401 = 175,401/x
  3. Step 3: Cross multiply
    112,326x = 175,401 × 175,401
  4. Step 4: Simplify right side
    112,326x = 30,765,510,801
  5. Step 5: Solve for x
    x = 30,765,510,801/112,326
  6. Step 6: Final answer
    x = 273,894.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.