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Finding the Third Proportional to 69,634.50 and 104,605.50

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Solution

The third proportional to 69,634.50 and 104,605.50 is: 157,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,634.50 : 104,605.50 = 104,605.50 : x
  2. Step 2: Convert to fraction form
    69,634.50/104,605.50 = 104,605.50/x
  3. Step 3: Cross multiply
    69,634.50x = 104,605.50 × 104,605.50
  4. Step 4: Simplify right side
    69,634.50x = 10,942,310,630.25
  5. Step 5: Solve for x
    x = 10,942,310,630.25/69,634.50
  6. Step 6: Final answer
    x = 157,139.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.