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Finding the Third Proportional to 48,849 and 103,695

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Solution

The third proportional to 48,849 and 103,695 is: 220,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,849 : 103,695 = 103,695 : x
  2. Step 2: Convert to fraction form
    48,849/103,695 = 103,695/x
  3. Step 3: Cross multiply
    48,849x = 103,695 × 103,695
  4. Step 4: Simplify right side
    48,849x = 10,752,653,025
  5. Step 5: Solve for x
    x = 10,752,653,025/48,849
  6. Step 6: Final answer
    x = 220,120.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.