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Finding the Third Proportional to 65,616 and 135,606

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Solution

The third proportional to 65,616 and 135,606 is: 280,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,616 : 135,606 = 135,606 : x
  2. Step 2: Convert to fraction form
    65,616/135,606 = 135,606/x
  3. Step 3: Cross multiply
    65,616x = 135,606 × 135,606
  4. Step 4: Simplify right side
    65,616x = 18,388,987,236
  5. Step 5: Solve for x
    x = 18,388,987,236/65,616
  6. Step 6: Final answer
    x = 280,251.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.