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Finding the Third Proportional to 50,717 and 108,470

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Solution

The third proportional to 50,717 and 108,470 is: 231,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,717 : 108,470 = 108,470 : x
  2. Step 2: Convert to fraction form
    50,717/108,470 = 108,470/x
  3. Step 3: Cross multiply
    50,717x = 108,470 × 108,470
  4. Step 4: Simplify right side
    50,717x = 11,765,740,900
  5. Step 5: Solve for x
    x = 11,765,740,900/50,717
  6. Step 6: Final answer
    x = 231,988.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.