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Finding the Third Proportional to 84,771 and 131,716.50

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Solution

The third proportional to 84,771 and 131,716.50 is: 204,660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,771 : 131,716.50 = 131,716.50 : x
  2. Step 2: Convert to fraction form
    84,771/131,716.50 = 131,716.50/x
  3. Step 3: Cross multiply
    84,771x = 131,716.50 × 131,716.50
  4. Step 4: Simplify right side
    84,771x = 17,349,236,372.25
  5. Step 5: Solve for x
    x = 17,349,236,372.25/84,771
  6. Step 6: Final answer
    x = 204,660.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.