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Finding the Third Proportional to 58,477 and 123,067

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Solution

The third proportional to 58,477 and 123,067 is: 258,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,477 : 123,067 = 123,067 : x
  2. Step 2: Convert to fraction form
    58,477/123,067 = 123,067/x
  3. Step 3: Cross multiply
    58,477x = 123,067 × 123,067
  4. Step 4: Simplify right side
    58,477x = 15,145,486,489
  5. Step 5: Solve for x
    x = 15,145,486,489/58,477
  6. Step 6: Final answer
    x = 258,999.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.