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Finding the Third Proportional to 72,481.50 and 102,069.50

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Solution

The third proportional to 72,481.50 and 102,069.50 is: 143,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,481.50 : 102,069.50 = 102,069.50 : x
  2. Step 2: Convert to fraction form
    72,481.50/102,069.50 = 102,069.50/x
  3. Step 3: Cross multiply
    72,481.50x = 102,069.50 × 102,069.50
  4. Step 4: Simplify right side
    72,481.50x = 10,418,182,830.25
  5. Step 5: Solve for x
    x = 10,418,182,830.25/72,481.50
  6. Step 6: Final answer
    x = 143,735.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.