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Finding the Third Proportional to 60.22 and 140.59

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Solution

The third proportional to 60.22 and 140.59 is: 328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.22 : 140.59 = 140.59 : x
  2. Step 2: Convert to fraction form
    60.22/140.59 = 140.59/x
  3. Step 3: Cross multiply
    60.22x = 140.59 × 140.59
  4. Step 4: Simplify right side
    60.22x = 19,765.50
  5. Step 5: Solve for x
    x = 19,765.50/60.22
  6. Step 6: Final answer
    x = 328.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.