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Finding the Third Proportional to 65,904 and 102,008

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Solution

The third proportional to 65,904 and 102,008 is: 157,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,904 : 102,008 = 102,008 : x
  2. Step 2: Convert to fraction form
    65,904/102,008 = 102,008/x
  3. Step 3: Cross multiply
    65,904x = 102,008 × 102,008
  4. Step 4: Simplify right side
    65,904x = 10,405,632,064
  5. Step 5: Solve for x
    x = 10,405,632,064/65,904
  6. Step 6: Final answer
    x = 157,890.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.