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Finding the Third Proportional to 50,415.75 and 109,722

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Solution

The third proportional to 50,415.75 and 109,722 is: 238,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,415.75 : 109,722 = 109,722 : x
  2. Step 2: Convert to fraction form
    50,415.75/109,722 = 109,722/x
  3. Step 3: Cross multiply
    50,415.75x = 109,722 × 109,722
  4. Step 4: Simplify right side
    50,415.75x = 12,038,917,284
  5. Step 5: Solve for x
    x = 12,038,917,284/50,415.75
  6. Step 6: Final answer
    x = 238,792.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.