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Finding the Third Proportional to 51,738.75 and 80,200.13

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Solution

The third proportional to 51,738.75 and 80,200.13 is: 124,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738.75 : 80,200.13 = 80,200.13 : x
  2. Step 2: Convert to fraction form
    51,738.75/80,200.13 = 80,200.13/x
  3. Step 3: Cross multiply
    51,738.75x = 80,200.13 × 80,200.13
  4. Step 4: Simplify right side
    51,738.75x = 6,432,060,050.02
  5. Step 5: Solve for x
    x = 6,432,060,050.02/51,738.75
  6. Step 6: Final answer
    x = 124,318.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.