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Finding the Third Proportional to 80,276.06 and 125,010.56

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Solution

The third proportional to 80,276.06 and 125,010.56 is: 194,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,276.06 : 125,010.56 = 125,010.56 : x
  2. Step 2: Convert to fraction form
    80,276.06/125,010.56 = 125,010.56/x
  3. Step 3: Cross multiply
    80,276.06x = 125,010.56 × 125,010.56
  4. Step 4: Simplify right side
    80,276.06x = 15,627,640,736.57
  5. Step 5: Solve for x
    x = 15,627,640,736.57/80,276.06
  6. Step 6: Final answer
    x = 194,673.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.