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Finding the Third Proportional to 71,896 and 108,852

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Solution

The third proportional to 71,896 and 108,852 is: 164,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,896 : 108,852 = 108,852 : x
  2. Step 2: Convert to fraction form
    71,896/108,852 = 108,852/x
  3. Step 3: Cross multiply
    71,896x = 108,852 × 108,852
  4. Step 4: Simplify right side
    71,896x = 11,848,757,904
  5. Step 5: Solve for x
    x = 11,848,757,904/71,896
  6. Step 6: Final answer
    x = 164,804.13

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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.