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Finding the Third Proportional to 81,028 and 175,016

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Solution

The third proportional to 81,028 and 175,016 is: 378,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,028 : 175,016 = 175,016 : x
  2. Step 2: Convert to fraction form
    81,028/175,016 = 175,016/x
  3. Step 3: Cross multiply
    81,028x = 175,016 × 175,016
  4. Step 4: Simplify right side
    81,028x = 30,630,600,256
  5. Step 5: Solve for x
    x = 30,630,600,256/81,028
  6. Step 6: Final answer
    x = 378,024.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.