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Finding the Third Proportional to 133,785 and 201,162

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Solution

The third proportional to 133,785 and 201,162 is: 302,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,785 : 201,162 = 201,162 : x
  2. Step 2: Convert to fraction form
    133,785/201,162 = 201,162/x
  3. Step 3: Cross multiply
    133,785x = 201,162 × 201,162
  4. Step 4: Simplify right side
    133,785x = 40,466,150,244
  5. Step 5: Solve for x
    x = 40,466,150,244/133,785
  6. Step 6: Final answer
    x = 302,471.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.