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Finding the Third Proportional to 50,928 and 109,657

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Solution

The third proportional to 50,928 and 109,657 is: 236,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,928 : 109,657 = 109,657 : x
  2. Step 2: Convert to fraction form
    50,928/109,657 = 109,657/x
  3. Step 3: Cross multiply
    50,928x = 109,657 × 109,657
  4. Step 4: Simplify right side
    50,928x = 12,024,657,649
  5. Step 5: Solve for x
    x = 12,024,657,649/50,928
  6. Step 6: Final answer
    x = 236,110.93

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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.