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Finding the Third Proportional to 72,825 and 109,906

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Solution

The third proportional to 72,825 and 109,906 is: 165,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,825 : 109,906 = 109,906 : x
  2. Step 2: Convert to fraction form
    72,825/109,906 = 109,906/x
  3. Step 3: Cross multiply
    72,825x = 109,906 × 109,906
  4. Step 4: Simplify right side
    72,825x = 12,079,328,836
  5. Step 5: Solve for x
    x = 12,079,328,836/72,825
  6. Step 6: Final answer
    x = 165,867.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.