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Finding the Third Proportional to 51,799.50 and 78,399.50

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Solution

The third proportional to 51,799.50 and 78,399.50 is: 118,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,799.50 : 78,399.50 = 78,399.50 : x
  2. Step 2: Convert to fraction form
    51,799.50/78,399.50 = 78,399.50/x
  3. Step 3: Cross multiply
    51,799.50x = 78,399.50 × 78,399.50
  4. Step 4: Simplify right side
    51,799.50x = 6,146,481,600.25
  5. Step 5: Solve for x
    x = 6,146,481,600.25/51,799.50
  6. Step 6: Final answer
    x = 118,659.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.