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Finding the Third Proportional to 126,823 and 233,135

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Solution

The third proportional to 126,823 and 233,135 is: 428,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,823 : 233,135 = 233,135 : x
  2. Step 2: Convert to fraction form
    126,823/233,135 = 233,135/x
  3. Step 3: Cross multiply
    126,823x = 233,135 × 233,135
  4. Step 4: Simplify right side
    126,823x = 54,351,928,225
  5. Step 5: Solve for x
    x = 54,351,928,225/126,823
  6. Step 6: Final answer
    x = 428,565.23

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.