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Finding the Third Proportional to 126.14 and 292.36

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Solution

The third proportional to 126.14 and 292.36 is: 677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 292.36 = 292.36 : x
  2. Step 2: Convert to fraction form
    126.14/292.36 = 292.36/x
  3. Step 3: Cross multiply
    126.14x = 292.36 × 292.36
  4. Step 4: Simplify right side
    126.14x = 85,474.00
  5. Step 5: Solve for x
    x = 85,474.00/126.14
  6. Step 6: Final answer
    x = 677.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.