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Finding the Third Proportional to 50,322 and 108,372

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Solution

The third proportional to 50,322 and 108,372 is: 233,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,322 : 108,372 = 108,372 : x
  2. Step 2: Convert to fraction form
    50,322/108,372 = 108,372/x
  3. Step 3: Cross multiply
    50,322x = 108,372 × 108,372
  4. Step 4: Simplify right side
    50,322x = 11,744,490,384
  5. Step 5: Solve for x
    x = 11,744,490,384/50,322
  6. Step 6: Final answer
    x = 233,386.80

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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.