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Finding the Third Proportional to 132,823 and 203,271

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Solution

The third proportional to 132,823 and 203,271 is: 311,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,823 : 203,271 = 203,271 : x
  2. Step 2: Convert to fraction form
    132,823/203,271 = 203,271/x
  3. Step 3: Cross multiply
    132,823x = 203,271 × 203,271
  4. Step 4: Simplify right side
    132,823x = 41,319,099,441
  5. Step 5: Solve for x
    x = 41,319,099,441/132,823
  6. Step 6: Final answer
    x = 311,083.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.