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Finding the Third Proportional to 30,680 and 66,193

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Solution

The third proportional to 30,680 and 66,193 is: 142,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680 : 66,193 = 66,193 : x
  2. Step 2: Convert to fraction form
    30,680/66,193 = 66,193/x
  3. Step 3: Cross multiply
    30,680x = 66,193 × 66,193
  4. Step 4: Simplify right side
    30,680x = 4,381,513,249
  5. Step 5: Solve for x
    x = 4,381,513,249/30,680
  6. Step 6: Final answer
    x = 142,813.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.