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Finding the Third Proportional to 80,158 and 125,090

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Solution

The third proportional to 80,158 and 125,090 is: 195,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,158 : 125,090 = 125,090 : x
  2. Step 2: Convert to fraction form
    80,158/125,090 = 125,090/x
  3. Step 3: Cross multiply
    80,158x = 125,090 × 125,090
  4. Step 4: Simplify right side
    80,158x = 15,647,508,100
  5. Step 5: Solve for x
    x = 15,647,508,100/80,158
  6. Step 6: Final answer
    x = 195,208.31

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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.