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Finding the Third Proportional to 23,103 and 50,170

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Solution

The third proportional to 23,103 and 50,170 is: 108,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103 : 50,170 = 50,170 : x
  2. Step 2: Convert to fraction form
    23,103/50,170 = 50,170/x
  3. Step 3: Cross multiply
    23,103x = 50,170 × 50,170
  4. Step 4: Simplify right side
    23,103x = 2,517,028,900
  5. Step 5: Solve for x
    x = 2,517,028,900/23,103
  6. Step 6: Final answer
    x = 108,948.14

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Why These Related Problems?

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