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Finding the Third Proportional to 69,511.50 and 105,600.38

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Solution

The third proportional to 69,511.50 and 105,600.38 is: 160,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,511.50 : 105,600.38 = 105,600.38 : x
  2. Step 2: Convert to fraction form
    69,511.50/105,600.38 = 105,600.38/x
  3. Step 3: Cross multiply
    69,511.50x = 105,600.38 × 105,600.38
  4. Step 4: Simplify right side
    69,511.50x = 11,151,439,200.14
  5. Step 5: Solve for x
    x = 11,151,439,200.14/69,511.50
  6. Step 6: Final answer
    x = 160,425.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.