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Finding the Third Proportional to 41,542 and 90,094

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Solution

The third proportional to 41,542 and 90,094 is: 195,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,542 : 90,094 = 90,094 : x
  2. Step 2: Convert to fraction form
    41,542/90,094 = 90,094/x
  3. Step 3: Cross multiply
    41,542x = 90,094 × 90,094
  4. Step 4: Simplify right side
    41,542x = 8,116,928,836
  5. Step 5: Solve for x
    x = 8,116,928,836/41,542
  6. Step 6: Final answer
    x = 195,390.90

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Why These Related Problems?

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