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Finding the Third Proportional to 64,933 and 135,060

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Solution

The third proportional to 64,933 and 135,060 is: 280,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,933 : 135,060 = 135,060 : x
  2. Step 2: Convert to fraction form
    64,933/135,060 = 135,060/x
  3. Step 3: Cross multiply
    64,933x = 135,060 × 135,060
  4. Step 4: Simplify right side
    64,933x = 18,241,203,600
  5. Step 5: Solve for x
    x = 18,241,203,600/64,933
  6. Step 6: Final answer
    x = 280,923.47

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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.