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Finding the Third Proportional to 51,286.50 and 106,650

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Solution

The third proportional to 51,286.50 and 106,650 is: 221,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,286.50 : 106,650 = 106,650 : x
  2. Step 2: Convert to fraction form
    51,286.50/106,650 = 106,650/x
  3. Step 3: Cross multiply
    51,286.50x = 106,650 × 106,650
  4. Step 4: Simplify right side
    51,286.50x = 11,374,222,500
  5. Step 5: Solve for x
    x = 11,374,222,500/51,286.50
  6. Step 6: Final answer
    x = 221,778.10

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