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Finding the Third Proportional to 92,061 and 200,525

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Solution

The third proportional to 92,061 and 200,525 is: 436,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,061 : 200,525 = 200,525 : x
  2. Step 2: Convert to fraction form
    92,061/200,525 = 200,525/x
  3. Step 3: Cross multiply
    92,061x = 200,525 × 200,525
  4. Step 4: Simplify right side
    92,061x = 40,210,275,625
  5. Step 5: Solve for x
    x = 40,210,275,625/92,061
  6. Step 6: Final answer
    x = 436,778.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.