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Finding the Third Proportional to 48,739 and 106,286

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Solution

The third proportional to 48,739 and 106,286 is: 231,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,739 : 106,286 = 106,286 : x
  2. Step 2: Convert to fraction form
    48,739/106,286 = 106,286/x
  3. Step 3: Cross multiply
    48,739x = 106,286 × 106,286
  4. Step 4: Simplify right side
    48,739x = 11,296,713,796
  5. Step 5: Solve for x
    x = 11,296,713,796/48,739
  6. Step 6: Final answer
    x = 231,779.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.