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Finding the Third Proportional to 50,145 and 101,109

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Solution

The third proportional to 50,145 and 101,109 is: 203,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,145 : 101,109 = 101,109 : x
  2. Step 2: Convert to fraction form
    50,145/101,109 = 101,109/x
  3. Step 3: Cross multiply
    50,145x = 101,109 × 101,109
  4. Step 4: Simplify right side
    50,145x = 10,223,029,881
  5. Step 5: Solve for x
    x = 10,223,029,881/50,145
  6. Step 6: Final answer
    x = 203,869.38

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.