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Finding the Third Proportional to 71,868 and 108,801

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Solution

The third proportional to 71,868 and 108,801 is: 164,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,868 : 108,801 = 108,801 : x
  2. Step 2: Convert to fraction form
    71,868/108,801 = 108,801/x
  3. Step 3: Cross multiply
    71,868x = 108,801 × 108,801
  4. Step 4: Simplify right side
    71,868x = 11,837,657,601
  5. Step 5: Solve for x
    x = 11,837,657,601/71,868
  6. Step 6: Final answer
    x = 164,713.89

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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.