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Finding the Third Proportional to 132,162 and 201,339

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Solution

The third proportional to 132,162 and 201,339 is: 306,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,162 : 201,339 = 201,339 : x
  2. Step 2: Convert to fraction form
    132,162/201,339 = 201,339/x
  3. Step 3: Cross multiply
    132,162x = 201,339 × 201,339
  4. Step 4: Simplify right side
    132,162x = 40,537,392,921
  5. Step 5: Solve for x
    x = 40,537,392,921/132,162
  6. Step 6: Final answer
    x = 306,725.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.