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Finding the Third Proportional to 116,396 and 177,975

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Solution

The third proportional to 116,396 and 177,975 is: 272,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,396 : 177,975 = 177,975 : x
  2. Step 2: Convert to fraction form
    116,396/177,975 = 177,975/x
  3. Step 3: Cross multiply
    116,396x = 177,975 × 177,975
  4. Step 4: Simplify right side
    116,396x = 31,675,100,625
  5. Step 5: Solve for x
    x = 31,675,100,625/116,396
  6. Step 6: Final answer
    x = 272,132.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.