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Finding the Third Proportional to 64,211 and 85,201

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Solution

The third proportional to 64,211 and 85,201 is: 113,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211 : 85,201 = 85,201 : x
  2. Step 2: Convert to fraction form
    64,211/85,201 = 85,201/x
  3. Step 3: Cross multiply
    64,211x = 85,201 × 85,201
  4. Step 4: Simplify right side
    64,211x = 7,259,210,401
  5. Step 5: Solve for x
    x = 7,259,210,401/64,211
  6. Step 6: Final answer
    x = 113,052.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.