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Finding the Third Proportional to 50,625 and 109,038

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Solution

The third proportional to 50,625 and 109,038 is: 234,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,625 : 109,038 = 109,038 : x
  2. Step 2: Convert to fraction form
    50,625/109,038 = 109,038/x
  3. Step 3: Cross multiply
    50,625x = 109,038 × 109,038
  4. Step 4: Simplify right side
    50,625x = 11,889,285,444
  5. Step 5: Solve for x
    x = 11,889,285,444/50,625
  6. Step 6: Final answer
    x = 234,850.08

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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.