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Finding the Third Proportional to 70,908 and 111,249

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Solution

The third proportional to 70,908 and 111,249 is: 174,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,908 : 111,249 = 111,249 : x
  2. Step 2: Convert to fraction form
    70,908/111,249 = 111,249/x
  3. Step 3: Cross multiply
    70,908x = 111,249 × 111,249
  4. Step 4: Simplify right side
    70,908x = 12,376,340,001
  5. Step 5: Solve for x
    x = 12,376,340,001/70,908
  6. Step 6: Final answer
    x = 174,540.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.