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Finding the Third Proportional to 92,609 and 204,495

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Solution

The third proportional to 92,609 and 204,495 is: 451,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,609 : 204,495 = 204,495 : x
  2. Step 2: Convert to fraction form
    92,609/204,495 = 204,495/x
  3. Step 3: Cross multiply
    92,609x = 204,495 × 204,495
  4. Step 4: Simplify right side
    92,609x = 41,818,205,025
  5. Step 5: Solve for x
    x = 41,818,205,025/92,609
  6. Step 6: Final answer
    x = 451,556.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.