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Finding the Third Proportional to 64,809 and 87,098

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Solution

The third proportional to 64,809 and 87,098 is: 117,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809 : 87,098 = 87,098 : x
  2. Step 2: Convert to fraction form
    64,809/87,098 = 87,098/x
  3. Step 3: Cross multiply
    64,809x = 87,098 × 87,098
  4. Step 4: Simplify right side
    64,809x = 7,586,061,604
  5. Step 5: Solve for x
    x = 7,586,061,604/64,809
  6. Step 6: Final answer
    x = 117,052.59

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.