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Finding the Third Proportional to 76,171 and 177,944

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Solution

The third proportional to 76,171 and 177,944 is: 415,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,171 : 177,944 = 177,944 : x
  2. Step 2: Convert to fraction form
    76,171/177,944 = 177,944/x
  3. Step 3: Cross multiply
    76,171x = 177,944 × 177,944
  4. Step 4: Simplify right side
    76,171x = 31,664,067,136
  5. Step 5: Solve for x
    x = 31,664,067,136/76,171
  6. Step 6: Final answer
    x = 415,697.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.