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Finding the Third Proportional to 50,658.75 and 109,971

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Solution

The third proportional to 50,658.75 and 109,971 is: 238,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,658.75 : 109,971 = 109,971 : x
  2. Step 2: Convert to fraction form
    50,658.75/109,971 = 109,971/x
  3. Step 3: Cross multiply
    50,658.75x = 109,971 × 109,971
  4. Step 4: Simplify right side
    50,658.75x = 12,093,620,841
  5. Step 5: Solve for x
    x = 12,093,620,841/50,658.75
  6. Step 6: Final answer
    x = 238,727.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.