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Finding the Third Proportional to 85,866 and 131,350

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Solution

The third proportional to 85,866 and 131,350 is: 200,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,866 : 131,350 = 131,350 : x
  2. Step 2: Convert to fraction form
    85,866/131,350 = 131,350/x
  3. Step 3: Cross multiply
    85,866x = 131,350 × 131,350
  4. Step 4: Simplify right side
    85,866x = 17,252,822,500
  5. Step 5: Solve for x
    x = 17,252,822,500/85,866
  6. Step 6: Final answer
    x = 200,927.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.