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Finding the Third Proportional to 79,852 and 173,870

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Solution

The third proportional to 79,852 and 173,870 is: 378,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,852 : 173,870 = 173,870 : x
  2. Step 2: Convert to fraction form
    79,852/173,870 = 173,870/x
  3. Step 3: Cross multiply
    79,852x = 173,870 × 173,870
  4. Step 4: Simplify right side
    79,852x = 30,230,776,900
  5. Step 5: Solve for x
    x = 30,230,776,900/79,852
  6. Step 6: Final answer
    x = 378,585.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.