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Finding the Third Proportional to 69,147 and 103,720.50

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Solution

The third proportional to 69,147 and 103,720.50 is: 155,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,147 : 103,720.50 = 103,720.50 : x
  2. Step 2: Convert to fraction form
    69,147/103,720.50 = 103,720.50/x
  3. Step 3: Cross multiply
    69,147x = 103,720.50 × 103,720.50
  4. Step 4: Simplify right side
    69,147x = 10,757,942,120.25
  5. Step 5: Solve for x
    x = 10,757,942,120.25/69,147
  6. Step 6: Final answer
    x = 155,580.75

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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.