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Finding the Third Proportional to 132,827 and 203,277

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Solution

The third proportional to 132,827 and 203,277 is: 311,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,827 : 203,277 = 203,277 : x
  2. Step 2: Convert to fraction form
    132,827/203,277 = 203,277/x
  3. Step 3: Cross multiply
    132,827x = 203,277 × 203,277
  4. Step 4: Simplify right side
    132,827x = 41,321,538,729
  5. Step 5: Solve for x
    x = 41,321,538,729/132,827
  6. Step 6: Final answer
    x = 311,092.92

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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.