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Finding the Third Proportional to 84,754 and 188,094

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Solution

The third proportional to 84,754 and 188,094 is: 417,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,754 : 188,094 = 188,094 : x
  2. Step 2: Convert to fraction form
    84,754/188,094 = 188,094/x
  3. Step 3: Cross multiply
    84,754x = 188,094 × 188,094
  4. Step 4: Simplify right side
    84,754x = 35,379,352,836
  5. Step 5: Solve for x
    x = 35,379,352,836/84,754
  6. Step 6: Final answer
    x = 417,435.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.