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Finding the Third Proportional to 43,605 and 67,505

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Solution

The third proportional to 43,605 and 67,505 is: 104,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605 : 67,505 = 67,505 : x
  2. Step 2: Convert to fraction form
    43,605/67,505 = 67,505/x
  3. Step 3: Cross multiply
    43,605x = 67,505 × 67,505
  4. Step 4: Simplify right side
    43,605x = 4,556,925,025
  5. Step 5: Solve for x
    x = 4,556,925,025/43,605
  6. Step 6: Final answer
    x = 104,504.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.