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Finding the Third Proportional to 73,773 and 110,733

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Solution

The third proportional to 73,773 and 110,733 is: 166,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,773 : 110,733 = 110,733 : x
  2. Step 2: Convert to fraction form
    73,773/110,733 = 110,733/x
  3. Step 3: Cross multiply
    73,773x = 110,733 × 110,733
  4. Step 4: Simplify right side
    73,773x = 12,261,797,289
  5. Step 5: Solve for x
    x = 12,261,797,289/73,773
  6. Step 6: Final answer
    x = 166,209.82

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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.