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Finding the Third Proportional to 41,090 and 84,124

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Solution

The third proportional to 41,090 and 84,124 is: 172,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,090 : 84,124 = 84,124 : x
  2. Step 2: Convert to fraction form
    41,090/84,124 = 84,124/x
  3. Step 3: Cross multiply
    41,090x = 84,124 × 84,124
  4. Step 4: Simplify right side
    41,090x = 7,076,847,376
  5. Step 5: Solve for x
    x = 7,076,847,376/41,090
  6. Step 6: Final answer
    x = 172,227.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.