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Finding the Third Proportional to 58.12 and 126.59

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Solution

The third proportional to 58.12 and 126.59 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.12 : 126.59 = 126.59 : x
  2. Step 2: Convert to fraction form
    58.12/126.59 = 126.59/x
  3. Step 3: Cross multiply
    58.12x = 126.59 × 126.59
  4. Step 4: Simplify right side
    58.12x = 16,025.73
  5. Step 5: Solve for x
    x = 16,025.73/58.12
  6. Step 6: Final answer
    x = 275.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.