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Finding the Third Proportional to 86,197.50 and 138,408.75

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Solution

The third proportional to 86,197.50 and 138,408.75 is: 222,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197.50 : 138,408.75 = 138,408.75 : x
  2. Step 2: Convert to fraction form
    86,197.50/138,408.75 = 138,408.75/x
  3. Step 3: Cross multiply
    86,197.50x = 138,408.75 × 138,408.75
  4. Step 4: Simplify right side
    86,197.50x = 19,156,982,076.56
  5. Step 5: Solve for x
    x = 19,156,982,076.56/86,197.50
  6. Step 6: Final answer
    x = 222,245.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.