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Finding the Third Proportional to 73,704 and 110,772

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Solution

The third proportional to 73,704 and 110,772 is: 166,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,704 : 110,772 = 110,772 : x
  2. Step 2: Convert to fraction form
    73,704/110,772 = 110,772/x
  3. Step 3: Cross multiply
    73,704x = 110,772 × 110,772
  4. Step 4: Simplify right side
    73,704x = 12,270,435,984
  5. Step 5: Solve for x
    x = 12,270,435,984/73,704
  6. Step 6: Final answer
    x = 166,482.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.