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Finding the Third Proportional to 135,108 and 201,906

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Solution

The third proportional to 135,108 and 201,906 is: 301,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,108 : 201,906 = 201,906 : x
  2. Step 2: Convert to fraction form
    135,108/201,906 = 201,906/x
  3. Step 3: Cross multiply
    135,108x = 201,906 × 201,906
  4. Step 4: Simplify right side
    135,108x = 40,766,032,836
  5. Step 5: Solve for x
    x = 40,766,032,836/135,108
  6. Step 6: Final answer
    x = 301,729.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.