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Finding the Third Proportional to 42,543 and 91,404

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Solution

The third proportional to 42,543 and 91,404 is: 196,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,543 : 91,404 = 91,404 : x
  2. Step 2: Convert to fraction form
    42,543/91,404 = 91,404/x
  3. Step 3: Cross multiply
    42,543x = 91,404 × 91,404
  4. Step 4: Simplify right side
    42,543x = 8,354,691,216
  5. Step 5: Solve for x
    x = 8,354,691,216/42,543
  6. Step 6: Final answer
    x = 196,382.28

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