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Finding the Third Proportional to 49,995 and 108,008

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Solution

The third proportional to 49,995 and 108,008 is: 233,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,995 : 108,008 = 108,008 : x
  2. Step 2: Convert to fraction form
    49,995/108,008 = 108,008/x
  3. Step 3: Cross multiply
    49,995x = 108,008 × 108,008
  4. Step 4: Simplify right side
    49,995x = 11,665,728,064
  5. Step 5: Solve for x
    x = 11,665,728,064/49,995
  6. Step 6: Final answer
    x = 233,337.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.