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Finding the Third Proportional to 51,013.50 and 78,793.50

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Solution

The third proportional to 51,013.50 and 78,793.50 is: 121,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,013.50 : 78,793.50 = 78,793.50 : x
  2. Step 2: Convert to fraction form
    51,013.50/78,793.50 = 78,793.50/x
  3. Step 3: Cross multiply
    51,013.50x = 78,793.50 × 78,793.50
  4. Step 4: Simplify right side
    51,013.50x = 6,208,415,642.25
  5. Step 5: Solve for x
    x = 6,208,415,642.25/51,013.50
  6. Step 6: Final answer
    x = 121,701.42

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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.