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Finding the Third Proportional to 42,764 and 91,754

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Solution

The third proportional to 42,764 and 91,754 is: 196,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,764 : 91,754 = 91,754 : x
  2. Step 2: Convert to fraction form
    42,764/91,754 = 91,754/x
  3. Step 3: Cross multiply
    42,764x = 91,754 × 91,754
  4. Step 4: Simplify right side
    42,764x = 8,418,796,516
  5. Step 5: Solve for x
    x = 8,418,796,516/42,764
  6. Step 6: Final answer
    x = 196,866.44

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Why These Related Problems?

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