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Finding the Third Proportional to 45,344 and 69,605

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Solution

The third proportional to 45,344 and 69,605 is: 106,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,344 : 69,605 = 69,605 : x
  2. Step 2: Convert to fraction form
    45,344/69,605 = 69,605/x
  3. Step 3: Cross multiply
    45,344x = 69,605 × 69,605
  4. Step 4: Simplify right side
    45,344x = 4,844,856,025
  5. Step 5: Solve for x
    x = 4,844,856,025/45,344
  6. Step 6: Final answer
    x = 106,846.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.