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Finding the Third Proportional to 42,795 and 91,134

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Solution

The third proportional to 42,795 and 91,134 is: 194,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,795 : 91,134 = 91,134 : x
  2. Step 2: Convert to fraction form
    42,795/91,134 = 91,134/x
  3. Step 3: Cross multiply
    42,795x = 91,134 × 91,134
  4. Step 4: Simplify right side
    42,795x = 8,305,405,956
  5. Step 5: Solve for x
    x = 8,305,405,956/42,795
  6. Step 6: Final answer
    x = 194,074.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.