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Finding the Third Proportional to 51,662 and 113,155

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Solution

The third proportional to 51,662 and 113,155 is: 247,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,662 : 113,155 = 113,155 : x
  2. Step 2: Convert to fraction form
    51,662/113,155 = 113,155/x
  3. Step 3: Cross multiply
    51,662x = 113,155 × 113,155
  4. Step 4: Simplify right side
    51,662x = 12,804,054,025
  5. Step 5: Solve for x
    x = 12,804,054,025/51,662
  6. Step 6: Final answer
    x = 247,842.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.