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Finding the Third Proportional to 65,674 and 104,008

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Solution

The third proportional to 65,674 and 104,008 is: 164,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674 : 104,008 = 104,008 : x
  2. Step 2: Convert to fraction form
    65,674/104,008 = 104,008/x
  3. Step 3: Cross multiply
    65,674x = 104,008 × 104,008
  4. Step 4: Simplify right side
    65,674x = 10,817,664,064
  5. Step 5: Solve for x
    x = 10,817,664,064/65,674
  6. Step 6: Final answer
    x = 164,717.61

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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.