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Finding the Third Proportional to 41,726 and 86,902

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Solution

The third proportional to 41,726 and 86,902 is: 180,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,726 : 86,902 = 86,902 : x
  2. Step 2: Convert to fraction form
    41,726/86,902 = 86,902/x
  3. Step 3: Cross multiply
    41,726x = 86,902 × 86,902
  4. Step 4: Simplify right side
    41,726x = 7,551,957,604
  5. Step 5: Solve for x
    x = 7,551,957,604/41,726
  6. Step 6: Final answer
    x = 180,989.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.