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Finding the Third Proportional to 51,082 and 108,306

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Solution

The third proportional to 51,082 and 108,306 is: 229,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,082 : 108,306 = 108,306 : x
  2. Step 2: Convert to fraction form
    51,082/108,306 = 108,306/x
  3. Step 3: Cross multiply
    51,082x = 108,306 × 108,306
  4. Step 4: Simplify right side
    51,082x = 11,730,189,636
  5. Step 5: Solve for x
    x = 11,730,189,636/51,082
  6. Step 6: Final answer
    x = 229,634.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.