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Finding the Third Proportional to 75,082 and 133,469

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Solution

The third proportional to 75,082 and 133,469 is: 237,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082 : 133,469 = 133,469 : x
  2. Step 2: Convert to fraction form
    75,082/133,469 = 133,469/x
  3. Step 3: Cross multiply
    75,082x = 133,469 × 133,469
  4. Step 4: Simplify right side
    75,082x = 17,813,973,961
  5. Step 5: Solve for x
    x = 17,813,973,961/75,082
  6. Step 6: Final answer
    x = 237,260.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.