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Finding the Third Proportional to 123,347 and 184,525

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Solution

The third proportional to 123,347 and 184,525 is: 276,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,347 : 184,525 = 184,525 : x
  2. Step 2: Convert to fraction form
    123,347/184,525 = 184,525/x
  3. Step 3: Cross multiply
    123,347x = 184,525 × 184,525
  4. Step 4: Simplify right side
    123,347x = 34,049,475,625
  5. Step 5: Solve for x
    x = 34,049,475,625/123,347
  6. Step 6: Final answer
    x = 276,046.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.