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Finding the Third Proportional to 87,214 and 134,223

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Solution

The third proportional to 87,214 and 134,223 is: 206,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,214 : 134,223 = 134,223 : x
  2. Step 2: Convert to fraction form
    87,214/134,223 = 134,223/x
  3. Step 3: Cross multiply
    87,214x = 134,223 × 134,223
  4. Step 4: Simplify right side
    87,214x = 18,015,813,729
  5. Step 5: Solve for x
    x = 18,015,813,729/87,214
  6. Step 6: Final answer
    x = 206,570.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.