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Finding the Third Proportional to 51,811.50 and 110,974

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Solution

The third proportional to 51,811.50 and 110,974 is: 237,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811.50 : 110,974 = 110,974 : x
  2. Step 2: Convert to fraction form
    51,811.50/110,974 = 110,974/x
  3. Step 3: Cross multiply
    51,811.50x = 110,974 × 110,974
  4. Step 4: Simplify right side
    51,811.50x = 12,315,228,676
  5. Step 5: Solve for x
    x = 12,315,228,676/51,811.50
  6. Step 6: Final answer
    x = 237,692.96

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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.