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Finding the Third Proportional to 123,903 and 172,408.50

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Solution

The third proportional to 123,903 and 172,408.50 is: 239,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,903 : 172,408.50 = 172,408.50 : x
  2. Step 2: Convert to fraction form
    123,903/172,408.50 = 172,408.50/x
  3. Step 3: Cross multiply
    123,903x = 172,408.50 × 172,408.50
  4. Step 4: Simplify right side
    123,903x = 29,724,690,872.25
  5. Step 5: Solve for x
    x = 29,724,690,872.25/123,903
  6. Step 6: Final answer
    x = 239,902.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.