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Finding the Third Proportional to 134,082 and 279,186.75

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Solution

The third proportional to 134,082 and 279,186.75 is: 581,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,082 : 279,186.75 = 279,186.75 : x
  2. Step 2: Convert to fraction form
    134,082/279,186.75 = 279,186.75/x
  3. Step 3: Cross multiply
    134,082x = 279,186.75 × 279,186.75
  4. Step 4: Simplify right side
    134,082x = 77,945,241,375.56
  5. Step 5: Solve for x
    x = 77,945,241,375.56/134,082
  6. Step 6: Final answer
    x = 581,325.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.