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Finding the Third Proportional to 126,326.63 and 184,560.75

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Solution

The third proportional to 126,326.63 and 184,560.75 is: 269,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,326.63 : 184,560.75 = 184,560.75 : x
  2. Step 2: Convert to fraction form
    126,326.63/184,560.75 = 184,560.75/x
  3. Step 3: Cross multiply
    126,326.63x = 184,560.75 × 184,560.75
  4. Step 4: Simplify right side
    126,326.63x = 34,062,670,440.56
  5. Step 5: Solve for x
    x = 34,062,670,440.56/126,326.63
  6. Step 6: Final answer
    x = 269,639.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.