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Finding the Third Proportional to 58.54 and 126.09

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Solution

The third proportional to 58.54 and 126.09 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 126.09 = 126.09 : x
  2. Step 2: Convert to fraction form
    58.54/126.09 = 126.09/x
  3. Step 3: Cross multiply
    58.54x = 126.09 × 126.09
  4. Step 4: Simplify right side
    58.54x = 15,898.16
  5. Step 5: Solve for x
    x = 15,898.16/58.54
  6. Step 6: Final answer
    x = 271.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.