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Finding the Third Proportional to 65,564.25 and 135,795

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Solution

The third proportional to 65,564.25 and 135,795 is: 281,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,564.25 : 135,795 = 135,795 : x
  2. Step 2: Convert to fraction form
    65,564.25/135,795 = 135,795/x
  3. Step 3: Cross multiply
    65,564.25x = 135,795 × 135,795
  4. Step 4: Simplify right side
    65,564.25x = 18,440,282,025
  5. Step 5: Solve for x
    x = 18,440,282,025/65,564.25
  6. Step 6: Final answer
    x = 281,255.14

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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.