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Finding the Third Proportional to 123,326.30 and 184,493.95

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Solution

The third proportional to 123,326.30 and 184,493.95 is: 275,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,326.30 : 184,493.95 = 184,493.95 : x
  2. Step 2: Convert to fraction form
    123,326.30/184,493.95 = 184,493.95/x
  3. Step 3: Cross multiply
    123,326.30x = 184,493.95 × 184,493.95
  4. Step 4: Simplify right side
    123,326.30x = 34,038,018,739.69
  5. Step 5: Solve for x
    x = 34,038,018,739.69/123,326.30
  6. Step 6: Final answer
    x = 275,999.68

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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.