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Finding the Third Proportional to 46,820 and 71,193

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Solution

The third proportional to 46,820 and 71,193 is: 108,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,820 : 71,193 = 71,193 : x
  2. Step 2: Convert to fraction form
    46,820/71,193 = 71,193/x
  3. Step 3: Cross multiply
    46,820x = 71,193 × 71,193
  4. Step 4: Simplify right side
    46,820x = 5,068,443,249
  5. Step 5: Solve for x
    x = 5,068,443,249/46,820
  6. Step 6: Final answer
    x = 108,253.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.