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Finding the Third Proportional to 114,741.56 and 189,625.43

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Solution

The third proportional to 114,741.56 and 189,625.43 is: 313,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,741.56 : 189,625.43 = 189,625.43 : x
  2. Step 2: Convert to fraction form
    114,741.56/189,625.43 = 189,625.43/x
  3. Step 3: Cross multiply
    114,741.56x = 189,625.43 × 189,625.43
  4. Step 4: Simplify right side
    114,741.56x = 35,957,803,584.17
  5. Step 5: Solve for x
    x = 35,957,803,584.17/114,741.56
  6. Step 6: Final answer
    x = 313,380.81

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.