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Finding the Third Proportional to 51,809.50 and 92,956

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Solution

The third proportional to 51,809.50 and 92,956 is: 166,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.50 : 92,956 = 92,956 : x
  2. Step 2: Convert to fraction form
    51,809.50/92,956 = 92,956/x
  3. Step 3: Cross multiply
    51,809.50x = 92,956 × 92,956
  4. Step 4: Simplify right side
    51,809.50x = 8,640,817,936
  5. Step 5: Solve for x
    x = 8,640,817,936/51,809.50
  6. Step 6: Final answer
    x = 166,780.57

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.