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Finding the Third Proportional to 43,606 and 94,120

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Solution

The third proportional to 43,606 and 94,120 is: 203,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,606 : 94,120 = 94,120 : x
  2. Step 2: Convert to fraction form
    43,606/94,120 = 94,120/x
  3. Step 3: Cross multiply
    43,606x = 94,120 × 94,120
  4. Step 4: Simplify right side
    43,606x = 8,858,574,400
  5. Step 5: Solve for x
    x = 8,858,574,400/43,606
  6. Step 6: Final answer
    x = 203,150.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.