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Finding the Third Proportional to 41,728.50 and 86,211

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Solution

The third proportional to 41,728.50 and 86,211 is: 178,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728.50 : 86,211 = 86,211 : x
  2. Step 2: Convert to fraction form
    41,728.50/86,211 = 86,211/x
  3. Step 3: Cross multiply
    41,728.50x = 86,211 × 86,211
  4. Step 4: Simplify right side
    41,728.50x = 7,432,336,521
  5. Step 5: Solve for x
    x = 7,432,336,521/41,728.50
  6. Step 6: Final answer
    x = 178,111.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.