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Finding the Third Proportional to 80,482 and 125,324

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Solution

The third proportional to 80,482 and 125,324 is: 195,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,482 : 125,324 = 125,324 : x
  2. Step 2: Convert to fraction form
    80,482/125,324 = 125,324/x
  3. Step 3: Cross multiply
    80,482x = 125,324 × 125,324
  4. Step 4: Simplify right side
    80,482x = 15,706,104,976
  5. Step 5: Solve for x
    x = 15,706,104,976/80,482
  6. Step 6: Final answer
    x = 195,150.53

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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.