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Finding the Third Proportional to 49,671 and 107,808

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Solution

The third proportional to 49,671 and 107,808 is: 233,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671 : 107,808 = 107,808 : x
  2. Step 2: Convert to fraction form
    49,671/107,808 = 107,808/x
  3. Step 3: Cross multiply
    49,671x = 107,808 × 107,808
  4. Step 4: Simplify right side
    49,671x = 11,622,564,864
  5. Step 5: Solve for x
    x = 11,622,564,864/49,671
  6. Step 6: Final answer
    x = 233,990.96

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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.