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Finding the Third Proportional to 70,249.50 and 124,906.50

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Solution

The third proportional to 70,249.50 and 124,906.50 is: 222,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,249.50 : 124,906.50 = 124,906.50 : x
  2. Step 2: Convert to fraction form
    70,249.50/124,906.50 = 124,906.50/x
  3. Step 3: Cross multiply
    70,249.50x = 124,906.50 × 124,906.50
  4. Step 4: Simplify right side
    70,249.50x = 15,601,633,742.25
  5. Step 5: Solve for x
    x = 15,601,633,742.25/70,249.50
  6. Step 6: Final answer
    x = 222,088.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.