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Finding the Third Proportional to 75,286.50 and 110,100

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Solution

The third proportional to 75,286.50 and 110,100 is: 161,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286.50 : 110,100 = 110,100 : x
  2. Step 2: Convert to fraction form
    75,286.50/110,100 = 110,100/x
  3. Step 3: Cross multiply
    75,286.50x = 110,100 × 110,100
  4. Step 4: Simplify right side
    75,286.50x = 12,122,010,000
  5. Step 5: Solve for x
    x = 12,122,010,000/75,286.50
  6. Step 6: Final answer
    x = 161,011.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.