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Finding the Third Proportional to 129,026.25 and 178,290.75

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Solution

The third proportional to 129,026.25 and 178,290.75 is: 246,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,026.25 : 178,290.75 = 178,290.75 : x
  2. Step 2: Convert to fraction form
    129,026.25/178,290.75 = 178,290.75/x
  3. Step 3: Cross multiply
    129,026.25x = 178,290.75 × 178,290.75
  4. Step 4: Simplify right side
    129,026.25x = 31,787,591,535.56
  5. Step 5: Solve for x
    x = 31,787,591,535.56/129,026.25
  6. Step 6: Final answer
    x = 246,365.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.