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Finding the Third Proportional to 85,176 and 182,028

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Solution

The third proportional to 85,176 and 182,028 is: 389,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,176 : 182,028 = 182,028 : x
  2. Step 2: Convert to fraction form
    85,176/182,028 = 182,028/x
  3. Step 3: Cross multiply
    85,176x = 182,028 × 182,028
  4. Step 4: Simplify right side
    85,176x = 33,134,192,784
  5. Step 5: Solve for x
    x = 33,134,192,784/85,176
  6. Step 6: Final answer
    x = 389,008.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.