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Finding the Third Proportional to 84,928 and 173,542

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Solution

The third proportional to 84,928 and 173,542 is: 354,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,928 : 173,542 = 173,542 : x
  2. Step 2: Convert to fraction form
    84,928/173,542 = 173,542/x
  3. Step 3: Cross multiply
    84,928x = 173,542 × 173,542
  4. Step 4: Simplify right side
    84,928x = 30,116,825,764
  5. Step 5: Solve for x
    x = 30,116,825,764/84,928
  6. Step 6: Final answer
    x = 354,615.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.