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Finding the Third Proportional to 58.50 and 111.13

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Solution

The third proportional to 58.50 and 111.13 is: 211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 111.13 = 111.13 : x
  2. Step 2: Convert to fraction form
    58.50/111.13 = 111.13/x
  3. Step 3: Cross multiply
    58.50x = 111.13 × 111.13
  4. Step 4: Simplify right side
    58.50x = 12,348.77
  5. Step 5: Solve for x
    x = 12,348.77/58.50
  6. Step 6: Final answer
    x = 211.09

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.