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Finding the Third Proportional to 49,979 and 106,582

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Solution

The third proportional to 49,979 and 106,582 is: 227,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,979 : 106,582 = 106,582 : x
  2. Step 2: Convert to fraction form
    49,979/106,582 = 106,582/x
  3. Step 3: Cross multiply
    49,979x = 106,582 × 106,582
  4. Step 4: Simplify right side
    49,979x = 11,359,722,724
  5. Step 5: Solve for x
    x = 11,359,722,724/49,979
  6. Step 6: Final answer
    x = 227,289.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.