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Finding the Third Proportional to 48,708 and 104,695

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Solution

The third proportional to 48,708 and 104,695 is: 225,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,708 : 104,695 = 104,695 : x
  2. Step 2: Convert to fraction form
    48,708/104,695 = 104,695/x
  3. Step 3: Cross multiply
    48,708x = 104,695 × 104,695
  4. Step 4: Simplify right side
    48,708x = 10,961,043,025
  5. Step 5: Solve for x
    x = 10,961,043,025/48,708
  6. Step 6: Final answer
    x = 225,035.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.