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Finding the Third Proportional to 48,901 and 106,796

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Solution

The third proportional to 48,901 and 106,796 is: 233,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,901 : 106,796 = 106,796 : x
  2. Step 2: Convert to fraction form
    48,901/106,796 = 106,796/x
  3. Step 3: Cross multiply
    48,901x = 106,796 × 106,796
  4. Step 4: Simplify right side
    48,901x = 11,405,385,616
  5. Step 5: Solve for x
    x = 11,405,385,616/48,901
  6. Step 6: Final answer
    x = 233,234.20

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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.