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Finding the Third Proportional to 61,704 and 132,168

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Solution

The third proportional to 61,704 and 132,168 is: 283,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,704 : 132,168 = 132,168 : x
  2. Step 2: Convert to fraction form
    61,704/132,168 = 132,168/x
  3. Step 3: Cross multiply
    61,704x = 132,168 × 132,168
  4. Step 4: Simplify right side
    61,704x = 17,468,380,224
  5. Step 5: Solve for x
    x = 17,468,380,224/61,704
  6. Step 6: Final answer
    x = 283,099.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.