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Finding the Third Proportional to 124,716.75 and 274,356

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Solution

The third proportional to 124,716.75 and 274,356 is: 603,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,716.75 : 274,356 = 274,356 : x
  2. Step 2: Convert to fraction form
    124,716.75/274,356 = 274,356/x
  3. Step 3: Cross multiply
    124,716.75x = 274,356 × 274,356
  4. Step 4: Simplify right side
    124,716.75x = 75,271,214,736
  5. Step 5: Solve for x
    x = 75,271,214,736/124,716.75
  6. Step 6: Final answer
    x = 603,537.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.