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Finding the Third Proportional to 69,105 and 103,636

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Solution

The third proportional to 69,105 and 103,636 is: 155,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,105 : 103,636 = 103,636 : x
  2. Step 2: Convert to fraction form
    69,105/103,636 = 103,636/x
  3. Step 3: Cross multiply
    69,105x = 103,636 × 103,636
  4. Step 4: Simplify right side
    69,105x = 10,740,420,496
  5. Step 5: Solve for x
    x = 10,740,420,496/69,105
  6. Step 6: Final answer
    x = 155,421.76

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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.