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Finding the Third Proportional to 133,082 and 201,009

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Solution

The third proportional to 133,082 and 201,009 is: 303,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082 : 201,009 = 201,009 : x
  2. Step 2: Convert to fraction form
    133,082/201,009 = 201,009/x
  3. Step 3: Cross multiply
    133,082x = 201,009 × 201,009
  4. Step 4: Simplify right side
    133,082x = 40,404,618,081
  5. Step 5: Solve for x
    x = 40,404,618,081/133,082
  6. Step 6: Final answer
    x = 303,606.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.