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Finding the Third Proportional to 42,451.50 and 92,274.75

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Solution

The third proportional to 42,451.50 and 92,274.75 is: 200,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,451.50 : 92,274.75 = 92,274.75 : x
  2. Step 2: Convert to fraction form
    42,451.50/92,274.75 = 92,274.75/x
  3. Step 3: Cross multiply
    42,451.50x = 92,274.75 × 92,274.75
  4. Step 4: Simplify right side
    42,451.50x = 8,514,629,487.56
  5. Step 5: Solve for x
    x = 8,514,629,487.56/42,451.50
  6. Step 6: Final answer
    x = 200,573.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.