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Finding the Third Proportional to 42,474 and 90,012

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Solution

The third proportional to 42,474 and 90,012 is: 190,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,474 : 90,012 = 90,012 : x
  2. Step 2: Convert to fraction form
    42,474/90,012 = 90,012/x
  3. Step 3: Cross multiply
    42,474x = 90,012 × 90,012
  4. Step 4: Simplify right side
    42,474x = 8,102,160,144
  5. Step 5: Solve for x
    x = 8,102,160,144/42,474
  6. Step 6: Final answer
    x = 190,755.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.