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Finding the Third Proportional to 82,871 and 180,924

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Solution

The third proportional to 82,871 and 180,924 is: 394,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871 : 180,924 = 180,924 : x
  2. Step 2: Convert to fraction form
    82,871/180,924 = 180,924/x
  3. Step 3: Cross multiply
    82,871x = 180,924 × 180,924
  4. Step 4: Simplify right side
    82,871x = 32,733,493,776
  5. Step 5: Solve for x
    x = 32,733,493,776/82,871
  6. Step 6: Final answer
    x = 394,993.35

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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.