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Finding the Third Proportional to 85,441 and 134,223

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Solution

The third proportional to 85,441 and 134,223 is: 210,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,441 : 134,223 = 134,223 : x
  2. Step 2: Convert to fraction form
    85,441/134,223 = 134,223/x
  3. Step 3: Cross multiply
    85,441x = 134,223 × 134,223
  4. Step 4: Simplify right side
    85,441x = 18,015,813,729
  5. Step 5: Solve for x
    x = 18,015,813,729/85,441
  6. Step 6: Final answer
    x = 210,856.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.