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Finding the Third Proportional to 65,682 and 141,219

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Solution

The third proportional to 65,682 and 141,219 is: 303,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682 : 141,219 = 141,219 : x
  2. Step 2: Convert to fraction form
    65,682/141,219 = 141,219/x
  3. Step 3: Cross multiply
    65,682x = 141,219 × 141,219
  4. Step 4: Simplify right side
    65,682x = 19,942,805,961
  5. Step 5: Solve for x
    x = 19,942,805,961/65,682
  6. Step 6: Final answer
    x = 303,626.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.