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Finding the Third Proportional to 36,043 and 82,960

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Solution

The third proportional to 36,043 and 82,960 is: 190,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,043 : 82,960 = 82,960 : x
  2. Step 2: Convert to fraction form
    36,043/82,960 = 82,960/x
  3. Step 3: Cross multiply
    36,043x = 82,960 × 82,960
  4. Step 4: Simplify right side
    36,043x = 6,882,361,600
  5. Step 5: Solve for x
    x = 6,882,361,600/36,043
  6. Step 6: Final answer
    x = 190,948.63

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.