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Finding the Third Proportional to 41,998 and 90,773

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Solution

The third proportional to 41,998 and 90,773 is: 196,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,998 : 90,773 = 90,773 : x
  2. Step 2: Convert to fraction form
    41,998/90,773 = 90,773/x
  3. Step 3: Cross multiply
    41,998x = 90,773 × 90,773
  4. Step 4: Simplify right side
    41,998x = 8,239,737,529
  5. Step 5: Solve for x
    x = 8,239,737,529/41,998
  6. Step 6: Final answer
    x = 196,193.57

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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.