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Finding the Third Proportional to 92,063 and 200,529

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Solution

The third proportional to 92,063 and 200,529 is: 436,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,063 : 200,529 = 200,529 : x
  2. Step 2: Convert to fraction form
    92,063/200,529 = 200,529/x
  3. Step 3: Cross multiply
    92,063x = 200,529 × 200,529
  4. Step 4: Simplify right side
    92,063x = 40,211,879,841
  5. Step 5: Solve for x
    x = 40,211,879,841/92,063
  6. Step 6: Final answer
    x = 436,786.55

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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.