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Finding the Third Proportional to 65,976 and 143,794

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Solution

The third proportional to 65,976 and 143,794 is: 313,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976 : 143,794 = 143,794 : x
  2. Step 2: Convert to fraction form
    65,976/143,794 = 143,794/x
  3. Step 3: Cross multiply
    65,976x = 143,794 × 143,794
  4. Step 4: Simplify right side
    65,976x = 20,676,714,436
  5. Step 5: Solve for x
    x = 20,676,714,436/65,976
  6. Step 6: Final answer
    x = 313,397.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.