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Finding the Third Proportional to 94,284 and 129,744

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Solution

The third proportional to 94,284 and 129,744 is: 178,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,284 : 129,744 = 129,744 : x
  2. Step 2: Convert to fraction form
    94,284/129,744 = 129,744/x
  3. Step 3: Cross multiply
    94,284x = 129,744 × 129,744
  4. Step 4: Simplify right side
    94,284x = 16,833,505,536
  5. Step 5: Solve for x
    x = 16,833,505,536/94,284
  6. Step 6: Final answer
    x = 178,540.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.