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Finding the Third Proportional to 51,180 and 106,491

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Solution

The third proportional to 51,180 and 106,491 is: 221,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,180 : 106,491 = 106,491 : x
  2. Step 2: Convert to fraction form
    51,180/106,491 = 106,491/x
  3. Step 3: Cross multiply
    51,180x = 106,491 × 106,491
  4. Step 4: Simplify right side
    51,180x = 11,340,333,081
  5. Step 5: Solve for x
    x = 11,340,333,081/51,180
  6. Step 6: Final answer
    x = 221,577.43

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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.