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Finding the Third Proportional to 67,851 and 93,027

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Solution

The third proportional to 67,851 and 93,027 is: 127,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,851 : 93,027 = 93,027 : x
  2. Step 2: Convert to fraction form
    67,851/93,027 = 93,027/x
  3. Step 3: Cross multiply
    67,851x = 93,027 × 93,027
  4. Step 4: Simplify right side
    67,851x = 8,654,022,729
  5. Step 5: Solve for x
    x = 8,654,022,729/67,851
  6. Step 6: Final answer
    x = 127,544.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.