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Finding the Third Proportional to 45,436.50 and 92,724.75

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Solution

The third proportional to 45,436.50 and 92,724.75 is: 189,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,436.50 : 92,724.75 = 92,724.75 : x
  2. Step 2: Convert to fraction form
    45,436.50/92,724.75 = 92,724.75/x
  3. Step 3: Cross multiply
    45,436.50x = 92,724.75 × 92,724.75
  4. Step 4: Simplify right side
    45,436.50x = 8,597,879,262.56
  5. Step 5: Solve for x
    x = 8,597,879,262.56/45,436.50
  6. Step 6: Final answer
    x = 189,228.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.