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Finding the Third Proportional to 57,194 and 86,211

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Solution

The third proportional to 57,194 and 86,211 is: 129,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194 : 86,211 = 86,211 : x
  2. Step 2: Convert to fraction form
    57,194/86,211 = 86,211/x
  3. Step 3: Cross multiply
    57,194x = 86,211 × 86,211
  4. Step 4: Simplify right side
    57,194x = 7,432,336,521
  5. Step 5: Solve for x
    x = 7,432,336,521/57,194
  6. Step 6: Final answer
    x = 129,949.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.