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Finding the Third Proportional to 23,106 and 50,097

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Solution

The third proportional to 23,106 and 50,097 is: 108,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106 : 50,097 = 50,097 : x
  2. Step 2: Convert to fraction form
    23,106/50,097 = 50,097/x
  3. Step 3: Cross multiply
    23,106x = 50,097 × 50,097
  4. Step 4: Simplify right side
    23,106x = 2,509,709,409
  5. Step 5: Solve for x
    x = 2,509,709,409/23,106
  6. Step 6: Final answer
    x = 108,617.22

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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.