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Finding the Third Proportional to 49,710 and 107,886

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Solution

The third proportional to 49,710 and 107,886 is: 234,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,710 : 107,886 = 107,886 : x
  2. Step 2: Convert to fraction form
    49,710/107,886 = 107,886/x
  3. Step 3: Cross multiply
    49,710x = 107,886 × 107,886
  4. Step 4: Simplify right side
    49,710x = 11,639,388,996
  5. Step 5: Solve for x
    x = 11,639,388,996/49,710
  6. Step 6: Final answer
    x = 234,145.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.