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Finding the Third Proportional to 51,959.75 and 78,311.50

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Solution

The third proportional to 51,959.75 and 78,311.50 is: 118,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,959.75 : 78,311.50 = 78,311.50 : x
  2. Step 2: Convert to fraction form
    51,959.75/78,311.50 = 78,311.50/x
  3. Step 3: Cross multiply
    51,959.75x = 78,311.50 × 78,311.50
  4. Step 4: Simplify right side
    51,959.75x = 6,132,691,032.25
  5. Step 5: Solve for x
    x = 6,132,691,032.25/51,959.75
  6. Step 6: Final answer
    x = 118,027.72

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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.