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Finding the Third Proportional to 73,899 and 110,835

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Solution

The third proportional to 73,899 and 110,835 is: 166,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,899 : 110,835 = 110,835 : x
  2. Step 2: Convert to fraction form
    73,899/110,835 = 110,835/x
  3. Step 3: Cross multiply
    73,899x = 110,835 × 110,835
  4. Step 4: Simplify right side
    73,899x = 12,284,397,225
  5. Step 5: Solve for x
    x = 12,284,397,225/73,899
  6. Step 6: Final answer
    x = 166,232.25

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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.