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Finding the Third Proportional to 116,048 and 173,640

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Solution

The third proportional to 116,048 and 173,640 is: 259,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,048 : 173,640 = 173,640 : x
  2. Step 2: Convert to fraction form
    116,048/173,640 = 173,640/x
  3. Step 3: Cross multiply
    116,048x = 173,640 × 173,640
  4. Step 4: Simplify right side
    116,048x = 30,150,849,600
  5. Step 5: Solve for x
    x = 30,150,849,600/116,048
  6. Step 6: Final answer
    x = 259,813.61

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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.