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Finding the Third Proportional to 51,832.50 and 95,878

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Solution

The third proportional to 51,832.50 and 95,878 is: 177,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,832.50 : 95,878 = 95,878 : x
  2. Step 2: Convert to fraction form
    51,832.50/95,878 = 95,878/x
  3. Step 3: Cross multiply
    51,832.50x = 95,878 × 95,878
  4. Step 4: Simplify right side
    51,832.50x = 9,192,590,884
  5. Step 5: Solve for x
    x = 9,192,590,884/51,832.50
  6. Step 6: Final answer
    x = 177,351.87

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.