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Finding the Third Proportional to 41,836 and 90,511

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Solution

The third proportional to 41,836 and 90,511 is: 195,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,836 : 90,511 = 90,511 : x
  2. Step 2: Convert to fraction form
    41,836/90,511 = 90,511/x
  3. Step 3: Cross multiply
    41,836x = 90,511 × 90,511
  4. Step 4: Simplify right side
    41,836x = 8,192,241,121
  5. Step 5: Solve for x
    x = 8,192,241,121/41,836
  6. Step 6: Final answer
    x = 195,817.98

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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.