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Finding the Third Proportional to 123,306 and 184,975

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Solution

The third proportional to 123,306 and 184,975 is: 277,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,306 : 184,975 = 184,975 : x
  2. Step 2: Convert to fraction form
    123,306/184,975 = 184,975/x
  3. Step 3: Cross multiply
    123,306x = 184,975 × 184,975
  4. Step 4: Simplify right side
    123,306x = 34,215,750,625
  5. Step 5: Solve for x
    x = 34,215,750,625/123,306
  6. Step 6: Final answer
    x = 277,486.50

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Why These Related Problems?

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