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Finding the Third Proportional to 116,811 and 177,525

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Solution

The third proportional to 116,811 and 177,525 is: 269,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,811 : 177,525 = 177,525 : x
  2. Step 2: Convert to fraction form
    116,811/177,525 = 177,525/x
  3. Step 3: Cross multiply
    116,811x = 177,525 × 177,525
  4. Step 4: Simplify right side
    116,811x = 31,515,125,625
  5. Step 5: Solve for x
    x = 31,515,125,625/116,811
  6. Step 6: Final answer
    x = 269,795.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.