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Finding the Third Proportional to 49,708 and 106,831

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Solution

The third proportional to 49,708 and 106,831 is: 229,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,708 : 106,831 = 106,831 : x
  2. Step 2: Convert to fraction form
    49,708/106,831 = 106,831/x
  3. Step 3: Cross multiply
    49,708x = 106,831 × 106,831
  4. Step 4: Simplify right side
    49,708x = 11,412,862,561
  5. Step 5: Solve for x
    x = 11,412,862,561/49,708
  6. Step 6: Final answer
    x = 229,598.10

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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.