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Finding the Third Proportional to 49,806 and 107,164

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Solution

The third proportional to 49,806 and 107,164 is: 230,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,806 : 107,164 = 107,164 : x
  2. Step 2: Convert to fraction form
    49,806/107,164 = 107,164/x
  3. Step 3: Cross multiply
    49,806x = 107,164 × 107,164
  4. Step 4: Simplify right side
    49,806x = 11,484,122,896
  5. Step 5: Solve for x
    x = 11,484,122,896/49,806
  6. Step 6: Final answer
    x = 230,577.10

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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.