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Finding the Third Proportional to 41,985 and 90,450

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Solution

The third proportional to 41,985 and 90,450 is: 194,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,985 : 90,450 = 90,450 : x
  2. Step 2: Convert to fraction form
    41,985/90,450 = 90,450/x
  3. Step 3: Cross multiply
    41,985x = 90,450 × 90,450
  4. Step 4: Simplify right side
    41,985x = 8,181,202,500
  5. Step 5: Solve for x
    x = 8,181,202,500/41,985
  6. Step 6: Final answer
    x = 194,860.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.