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Finding the Third Proportional to 85,923 and 131,453

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Solution

The third proportional to 85,923 and 131,453 is: 201,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,923 : 131,453 = 131,453 : x
  2. Step 2: Convert to fraction form
    85,923/131,453 = 131,453/x
  3. Step 3: Cross multiply
    85,923x = 131,453 × 131,453
  4. Step 4: Simplify right side
    85,923x = 17,279,891,209
  5. Step 5: Solve for x
    x = 17,279,891,209/85,923
  6. Step 6: Final answer
    x = 201,109.03

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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.