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Finding the Third Proportional to 41,450 and 88,756

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Solution

The third proportional to 41,450 and 88,756 is: 190,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,450 : 88,756 = 88,756 : x
  2. Step 2: Convert to fraction form
    41,450/88,756 = 88,756/x
  3. Step 3: Cross multiply
    41,450x = 88,756 × 88,756
  4. Step 4: Simplify right side
    41,450x = 7,877,627,536
  5. Step 5: Solve for x
    x = 7,877,627,536/41,450
  6. Step 6: Final answer
    x = 190,051.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.