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Finding the Third Proportional to 65,254 and 143,996

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Solution

The third proportional to 65,254 and 143,996 is: 317,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254 : 143,996 = 143,996 : x
  2. Step 2: Convert to fraction form
    65,254/143,996 = 143,996/x
  3. Step 3: Cross multiply
    65,254x = 143,996 × 143,996
  4. Step 4: Simplify right side
    65,254x = 20,734,848,016
  5. Step 5: Solve for x
    x = 20,734,848,016/65,254
  6. Step 6: Final answer
    x = 317,755.97

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.