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Finding the Third Proportional to 50,209 and 108,683

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Solution

The third proportional to 50,209 and 108,683 is: 235,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209 : 108,683 = 108,683 : x
  2. Step 2: Convert to fraction form
    50,209/108,683 = 108,683/x
  3. Step 3: Cross multiply
    50,209x = 108,683 × 108,683
  4. Step 4: Simplify right side
    50,209x = 11,811,994,489
  5. Step 5: Solve for x
    x = 11,811,994,489/50,209
  6. Step 6: Final answer
    x = 235,256.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.