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Finding the Third Proportional to 43,635 and 94,133

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Solution

The third proportional to 43,635 and 94,133 is: 203,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,635 : 94,133 = 94,133 : x
  2. Step 2: Convert to fraction form
    43,635/94,133 = 94,133/x
  3. Step 3: Cross multiply
    43,635x = 94,133 × 94,133
  4. Step 4: Simplify right side
    43,635x = 8,861,021,689
  5. Step 5: Solve for x
    x = 8,861,021,689/43,635
  6. Step 6: Final answer
    x = 203,071.43

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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.