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Finding the Third Proportional to 69,082 and 143,078

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Solution

The third proportional to 69,082 and 143,078 is: 296,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,082 : 143,078 = 143,078 : x
  2. Step 2: Convert to fraction form
    69,082/143,078 = 143,078/x
  3. Step 3: Cross multiply
    69,082x = 143,078 × 143,078
  4. Step 4: Simplify right side
    69,082x = 20,471,314,084
  5. Step 5: Solve for x
    x = 20,471,314,084/69,082
  6. Step 6: Final answer
    x = 296,333.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.