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Finding the Third Proportional to 114,692.20 and 189,551.39

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Solution

The third proportional to 114,692.20 and 189,551.39 is: 313,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,692.20 : 189,551.39 = 189,551.39 : x
  2. Step 2: Convert to fraction form
    114,692.20/189,551.39 = 189,551.39/x
  3. Step 3: Cross multiply
    114,692.20x = 189,551.39 × 189,551.39
  4. Step 4: Simplify right side
    114,692.20x = 35,929,729,687.87
  5. Step 5: Solve for x
    x = 35,929,729,687.87/114,692.20
  6. Step 6: Final answer
    x = 313,270.90

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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.