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Finding the Third Proportional to 43,325 and 94,485

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Solution

The third proportional to 43,325 and 94,485 is: 206,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,325 : 94,485 = 94,485 : x
  2. Step 2: Convert to fraction form
    43,325/94,485 = 94,485/x
  3. Step 3: Cross multiply
    43,325x = 94,485 × 94,485
  4. Step 4: Simplify right side
    43,325x = 8,927,415,225
  5. Step 5: Solve for x
    x = 8,927,415,225/43,325
  6. Step 6: Final answer
    x = 206,056.90

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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.