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Finding the Third Proportional to 88,193 and 136,599

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Solution

The third proportional to 88,193 and 136,599 is: 211,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,193 : 136,599 = 136,599 : x
  2. Step 2: Convert to fraction form
    88,193/136,599 = 136,599/x
  3. Step 3: Cross multiply
    88,193x = 136,599 × 136,599
  4. Step 4: Simplify right side
    88,193x = 18,659,286,801
  5. Step 5: Solve for x
    x = 18,659,286,801/88,193
  6. Step 6: Final answer
    x = 211,573.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.