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Finding the Third Proportional to 65,617.17 and 135,608.34

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Solution

The third proportional to 65,617.17 and 135,608.34 is: 280,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,617.17 : 135,608.34 = 135,608.34 : x
  2. Step 2: Convert to fraction form
    65,617.17/135,608.34 = 135,608.34/x
  3. Step 3: Cross multiply
    65,617.17x = 135,608.34 × 135,608.34
  4. Step 4: Simplify right side
    65,617.17x = 18,389,622,894.62
  5. Step 5: Solve for x
    x = 18,389,622,894.62/65,617.17
  6. Step 6: Final answer
    x = 280,256.26

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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.