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Finding the Third Proportional to 126,677.25 and 178,169.63

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Solution

The third proportional to 126,677.25 and 178,169.63 is: 250,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,677.25 : 178,169.63 = 178,169.63 : x
  2. Step 2: Convert to fraction form
    126,677.25/178,169.63 = 178,169.63/x
  3. Step 3: Cross multiply
    126,677.25x = 178,169.63 × 178,169.63
  4. Step 4: Simplify right side
    126,677.25x = 31,744,415,272.64
  5. Step 5: Solve for x
    x = 31,744,415,272.64/126,677.25
  6. Step 6: Final answer
    x = 250,592.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.