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Finding the Third Proportional to 43,321 and 94,914

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Solution

The third proportional to 43,321 and 94,914 is: 207,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,321 : 94,914 = 94,914 : x
  2. Step 2: Convert to fraction form
    43,321/94,914 = 94,914/x
  3. Step 3: Cross multiply
    43,321x = 94,914 × 94,914
  4. Step 4: Simplify right side
    43,321x = 9,008,667,396
  5. Step 5: Solve for x
    x = 9,008,667,396/43,321
  6. Step 6: Final answer
    x = 207,951.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.