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Finding the Third Proportional to 95,741.50 and 204,515

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Solution

The third proportional to 95,741.50 and 204,515 is: 436,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,741.50 : 204,515 = 204,515 : x
  2. Step 2: Convert to fraction form
    95,741.50/204,515 = 204,515/x
  3. Step 3: Cross multiply
    95,741.50x = 204,515 × 204,515
  4. Step 4: Simplify right side
    95,741.50x = 41,826,385,225
  5. Step 5: Solve for x
    x = 41,826,385,225/95,741.50
  6. Step 6: Final answer
    x = 436,867.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.