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Finding the Third Proportional to 123,100 and 184,436

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Solution

The third proportional to 123,100 and 184,436 is: 276,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,100 : 184,436 = 184,436 : x
  2. Step 2: Convert to fraction form
    123,100/184,436 = 184,436/x
  3. Step 3: Cross multiply
    123,100x = 184,436 × 184,436
  4. Step 4: Simplify right side
    123,100x = 34,016,638,096
  5. Step 5: Solve for x
    x = 34,016,638,096/123,100
  6. Step 6: Final answer
    x = 276,333.37

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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.