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Finding the Third Proportional to 116,148 and 173,766

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Solution

The third proportional to 116,148 and 173,766 is: 259,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,148 : 173,766 = 173,766 : x
  2. Step 2: Convert to fraction form
    116,148/173,766 = 173,766/x
  3. Step 3: Cross multiply
    116,148x = 173,766 × 173,766
  4. Step 4: Simplify right side
    116,148x = 30,194,622,756
  5. Step 5: Solve for x
    x = 30,194,622,756/116,148
  6. Step 6: Final answer
    x = 259,966.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.