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Finding the Third Proportional to 65,885 and 98,647

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Solution

The third proportional to 65,885 and 98,647 is: 147,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,885 : 98,647 = 98,647 : x
  2. Step 2: Convert to fraction form
    65,885/98,647 = 98,647/x
  3. Step 3: Cross multiply
    65,885x = 98,647 × 98,647
  4. Step 4: Simplify right side
    65,885x = 9,731,230,609
  5. Step 5: Solve for x
    x = 9,731,230,609/65,885
  6. Step 6: Final answer
    x = 147,700.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.