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Finding the Third Proportional to 65,676 and 104,012

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Solution

The third proportional to 65,676 and 104,012 is: 164,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676 : 104,012 = 104,012 : x
  2. Step 2: Convert to fraction form
    65,676/104,012 = 104,012/x
  3. Step 3: Cross multiply
    65,676x = 104,012 × 104,012
  4. Step 4: Simplify right side
    65,676x = 10,818,496,144
  5. Step 5: Solve for x
    x = 10,818,496,144/65,676
  6. Step 6: Final answer
    x = 164,725.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.