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Finding the Third Proportional to 51,869.25 and 80,104.50

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Solution

The third proportional to 51,869.25 and 80,104.50 is: 123,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,869.25 : 80,104.50 = 80,104.50 : x
  2. Step 2: Convert to fraction form
    51,869.25/80,104.50 = 80,104.50/x
  3. Step 3: Cross multiply
    51,869.25x = 80,104.50 × 80,104.50
  4. Step 4: Simplify right side
    51,869.25x = 6,416,730,920.25
  5. Step 5: Solve for x
    x = 6,416,730,920.25/51,869.25
  6. Step 6: Final answer
    x = 123,709.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.