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Finding the Third Proportional to 126.09 and 233.91

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Solution

The third proportional to 126.09 and 233.91 is: 433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.09 : 233.91 = 233.91 : x
  2. Step 2: Convert to fraction form
    126.09/233.91 = 233.91/x
  3. Step 3: Cross multiply
    126.09x = 233.91 × 233.91
  4. Step 4: Simplify right side
    126.09x = 54,712.13
  5. Step 5: Solve for x
    x = 54,712.13/126.09
  6. Step 6: Final answer
    x = 433.90

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.