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Finding the Third Proportional to 50,372 and 108,520

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Solution

The third proportional to 50,372 and 108,520 is: 233,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,372 : 108,520 = 108,520 : x
  2. Step 2: Convert to fraction form
    50,372/108,520 = 108,520/x
  3. Step 3: Cross multiply
    50,372x = 108,520 × 108,520
  4. Step 4: Simplify right side
    50,372x = 11,776,590,400
  5. Step 5: Solve for x
    x = 11,776,590,400/50,372
  6. Step 6: Final answer
    x = 233,792.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.