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Finding the Third Proportional to 109,440.75 and 157,249.13

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Solution

The third proportional to 109,440.75 and 157,249.13 is: 225,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,440.75 : 157,249.13 = 157,249.13 : x
  2. Step 2: Convert to fraction form
    109,440.75/157,249.13 = 157,249.13/x
  3. Step 3: Cross multiply
    109,440.75x = 157,249.13 × 157,249.13
  4. Step 4: Simplify right side
    109,440.75x = 24,727,287,313.27
  5. Step 5: Solve for x
    x = 24,727,287,313.27/109,440.75
  6. Step 6: Final answer
    x = 225,942.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.