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Finding the Third Proportional to 65,904 and 102,912

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Solution

The third proportional to 65,904 and 102,912 is: 160,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,904 : 102,912 = 102,912 : x
  2. Step 2: Convert to fraction form
    65,904/102,912 = 102,912/x
  3. Step 3: Cross multiply
    65,904x = 102,912 × 102,912
  4. Step 4: Simplify right side
    65,904x = 10,590,879,744
  5. Step 5: Solve for x
    x = 10,590,879,744/65,904
  6. Step 6: Final answer
    x = 160,701.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.