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Finding the Third Proportional to 64,978 and 95,161

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Solution

The third proportional to 64,978 and 95,161 is: 139,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,978 : 95,161 = 95,161 : x
  2. Step 2: Convert to fraction form
    64,978/95,161 = 95,161/x
  3. Step 3: Cross multiply
    64,978x = 95,161 × 95,161
  4. Step 4: Simplify right side
    64,978x = 9,055,615,921
  5. Step 5: Solve for x
    x = 9,055,615,921/64,978
  6. Step 6: Final answer
    x = 139,364.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.