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Finding the Third Proportional to 51,146.44 and 106,520.06

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Solution

The third proportional to 51,146.44 and 106,520.06 is: 221,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146.44 : 106,520.06 = 106,520.06 : x
  2. Step 2: Convert to fraction form
    51,146.44/106,520.06 = 106,520.06/x
  3. Step 3: Cross multiply
    51,146.44x = 106,520.06 × 106,520.06
  4. Step 4: Simplify right side
    51,146.44x = 11,346,523,715.00
  5. Step 5: Solve for x
    x = 11,346,523,715.00/51,146.44
  6. Step 6: Final answer
    x = 221,843.87

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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.