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Finding the Third Proportional to 60.22 and 124.70

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Solution

The third proportional to 60.22 and 124.70 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.22 : 124.70 = 124.70 : x
  2. Step 2: Convert to fraction form
    60.22/124.70 = 124.70/x
  3. Step 3: Cross multiply
    60.22x = 124.70 × 124.70
  4. Step 4: Simplify right side
    60.22x = 15,550.99
  5. Step 5: Solve for x
    x = 15,550.99/60.22
  6. Step 6: Final answer
    x = 258.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.