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Finding the Third Proportional to 58.22 and 120.09

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Solution

The third proportional to 58.22 and 120.09 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 120.09 = 120.09 : x
  2. Step 2: Convert to fraction form
    58.22/120.09 = 120.09/x
  3. Step 3: Cross multiply
    58.22x = 120.09 × 120.09
  4. Step 4: Simplify right side
    58.22x = 14,422.51
  5. Step 5: Solve for x
    x = 14,422.51/58.22
  6. Step 6: Final answer
    x = 247.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.