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Finding the Third Proportional to 64,164 and 135,960

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Solution

The third proportional to 64,164 and 135,960 is: 288,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,164 : 135,960 = 135,960 : x
  2. Step 2: Convert to fraction form
    64,164/135,960 = 135,960/x
  3. Step 3: Cross multiply
    64,164x = 135,960 × 135,960
  4. Step 4: Simplify right side
    64,164x = 18,485,121,600
  5. Step 5: Solve for x
    x = 18,485,121,600/64,164
  6. Step 6: Final answer
    x = 288,091.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.