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Finding the Third Proportional to 51,840.50 and 95,894

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Solution

The third proportional to 51,840.50 and 95,894 is: 177,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.50 : 95,894 = 95,894 : x
  2. Step 2: Convert to fraction form
    51,840.50/95,894 = 95,894/x
  3. Step 3: Cross multiply
    51,840.50x = 95,894 × 95,894
  4. Step 4: Simplify right side
    51,840.50x = 9,195,659,236
  5. Step 5: Solve for x
    x = 9,195,659,236/51,840.50
  6. Step 6: Final answer
    x = 177,383.69

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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.