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Finding the Third Proportional to 61,733 and 92,193

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Solution

The third proportional to 61,733 and 92,193 is: 137,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,733 : 92,193 = 92,193 : x
  2. Step 2: Convert to fraction form
    61,733/92,193 = 92,193/x
  3. Step 3: Cross multiply
    61,733x = 92,193 × 92,193
  4. Step 4: Simplify right side
    61,733x = 8,499,549,249
  5. Step 5: Solve for x
    x = 8,499,549,249/61,733
  6. Step 6: Final answer
    x = 137,682.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.