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Finding the Third Proportional to 85,125 and 172,682

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Solution

The third proportional to 85,125 and 172,682 is: 350,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,125 : 172,682 = 172,682 : x
  2. Step 2: Convert to fraction form
    85,125/172,682 = 172,682/x
  3. Step 3: Cross multiply
    85,125x = 172,682 × 172,682
  4. Step 4: Simplify right side
    85,125x = 29,819,073,124
  5. Step 5: Solve for x
    x = 29,819,073,124/85,125
  6. Step 6: Final answer
    x = 350,297.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.