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Finding the Third Proportional to 65,133 and 135,450

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Solution

The third proportional to 65,133 and 135,450 is: 281,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133 : 135,450 = 135,450 : x
  2. Step 2: Convert to fraction form
    65,133/135,450 = 135,450/x
  3. Step 3: Cross multiply
    65,133x = 135,450 × 135,450
  4. Step 4: Simplify right side
    65,133x = 18,346,702,500
  5. Step 5: Solve for x
    x = 18,346,702,500/65,133
  6. Step 6: Final answer
    x = 281,680.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.