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Finding the Third Proportional to 123,309.75 and 184,966.50

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Solution

The third proportional to 123,309.75 and 184,966.50 is: 277,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,309.75 : 184,966.50 = 184,966.50 : x
  2. Step 2: Convert to fraction form
    123,309.75/184,966.50 = 184,966.50/x
  3. Step 3: Cross multiply
    123,309.75x = 184,966.50 × 184,966.50
  4. Step 4: Simplify right side
    123,309.75x = 34,212,606,122.25
  5. Step 5: Solve for x
    x = 34,212,606,122.25/123,309.75
  6. Step 6: Final answer
    x = 277,452.56

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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.