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Finding the Third Proportional to 40,932 and 86,211

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Solution

The third proportional to 40,932 and 86,211 is: 181,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,932 : 86,211 = 86,211 : x
  2. Step 2: Convert to fraction form
    40,932/86,211 = 86,211/x
  3. Step 3: Cross multiply
    40,932x = 86,211 × 86,211
  4. Step 4: Simplify right side
    40,932x = 7,432,336,521
  5. Step 5: Solve for x
    x = 7,432,336,521/40,932
  6. Step 6: Final answer
    x = 181,577.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.