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Finding the Third Proportional to 41,541.75 and 90,094.13

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Solution

The third proportional to 41,541.75 and 90,094.13 is: 195,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,541.75 : 90,094.13 = 90,094.13 : x
  2. Step 2: Convert to fraction form
    41,541.75/90,094.13 = 90,094.13/x
  3. Step 3: Cross multiply
    41,541.75x = 90,094.13 × 90,094.13
  4. Step 4: Simplify right side
    41,541.75x = 8,116,951,359.52
  5. Step 5: Solve for x
    x = 8,116,951,359.52/41,541.75
  6. Step 6: Final answer
    x = 195,392.62

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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.