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Finding the Third Proportional to 85,569 and 206,145

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Solution

The third proportional to 85,569 and 206,145 is: 496,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,569 : 206,145 = 206,145 : x
  2. Step 2: Convert to fraction form
    85,569/206,145 = 206,145/x
  3. Step 3: Cross multiply
    85,569x = 206,145 × 206,145
  4. Step 4: Simplify right side
    85,569x = 42,495,761,025
  5. Step 5: Solve for x
    x = 42,495,761,025/85,569
  6. Step 6: Final answer
    x = 496,625.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.