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Finding the Third Proportional to 43,245 and 94,063.50

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Solution

The third proportional to 43,245 and 94,063.50 is: 204,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,245 : 94,063.50 = 94,063.50 : x
  2. Step 2: Convert to fraction form
    43,245/94,063.50 = 94,063.50/x
  3. Step 3: Cross multiply
    43,245x = 94,063.50 × 94,063.50
  4. Step 4: Simplify right side
    43,245x = 8,847,942,032.25
  5. Step 5: Solve for x
    x = 8,847,942,032.25/43,245
  6. Step 6: Final answer
    x = 204,600.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.