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Finding the Third Proportional to 112,450 and 175,491

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Solution

The third proportional to 112,450 and 175,491 is: 273,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,450 : 175,491 = 175,491 : x
  2. Step 2: Convert to fraction form
    112,450/175,491 = 175,491/x
  3. Step 3: Cross multiply
    112,450x = 175,491 × 175,491
  4. Step 4: Simplify right side
    112,450x = 30,797,091,081
  5. Step 5: Solve for x
    x = 30,797,091,081/112,450
  6. Step 6: Final answer
    x = 273,873.64

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Why These Related Problems?

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