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Finding the Third Proportional to 123,241.50 and 184,998.94

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Solution

The third proportional to 123,241.50 and 184,998.94 is: 277,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,241.50 : 184,998.94 = 184,998.94 : x
  2. Step 2: Convert to fraction form
    123,241.50/184,998.94 = 184,998.94/x
  3. Step 3: Cross multiply
    123,241.50x = 184,998.94 × 184,998.94
  4. Step 4: Simplify right side
    123,241.50x = 34,224,606,876.13
  5. Step 5: Solve for x
    x = 34,224,606,876.13/123,241.50
  6. Step 6: Final answer
    x = 277,703.59

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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.