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Finding the Third Proportional to 58.85 and 126.67

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Solution

The third proportional to 58.85 and 126.67 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.85 : 126.67 = 126.67 : x
  2. Step 2: Convert to fraction form
    58.85/126.67 = 126.67/x
  3. Step 3: Cross multiply
    58.85x = 126.67 × 126.67
  4. Step 4: Simplify right side
    58.85x = 16,044.77
  5. Step 5: Solve for x
    x = 16,044.77/58.85
  6. Step 6: Final answer
    x = 272.63

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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.