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Finding the Third Proportional to 124,524.75 and 275,214.75

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Solution

The third proportional to 124,524.75 and 275,214.75 is: 608,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,524.75 : 275,214.75 = 275,214.75 : x
  2. Step 2: Convert to fraction form
    124,524.75/275,214.75 = 275,214.75/x
  3. Step 3: Cross multiply
    124,524.75x = 275,214.75 × 275,214.75
  4. Step 4: Simplify right side
    124,524.75x = 75,743,158,617.56
  5. Step 5: Solve for x
    x = 75,743,158,617.56/124,524.75
  6. Step 6: Final answer
    x = 608,257.87

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.